Chapitre V

Partie obligatoire

V.1 Data Analysis

reading csv files

In [113]:
import csv
#train = csv.reader("resources/dataset_train.csv", dialect='excel')
In [114]:
data = []
with open("resources/dataset_train.csv") as csvfile:
    reader = csv.DictReader(csvfile)
    for row in reader:
        data.append(row)
data
Out[114]:
[OrderedDict([('Index', '0'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Tamara'),
              ('Last Name', 'Hsu'),
              ('Birthday', '2000-03-30'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '58384.0'),
              ('Astronomy', '-487.88608595139016'),
              ('Herbology', '5.727180298550763'),
              ('Defense Against the Dark Arts', '4.8788608595139005'),
              ('Divination', '4.7219999999999995'),
              ('Muggle Studies', '272.0358314131986'),
              ('Ancient Runes', '532.4842261151226'),
              ('History of Magic', '5.231058287281048'),
              ('Transfiguration', '1039.7882807428462'),
              ('Potions', '3.7903690663529614'),
              ('Care of Magical Creatures', '0.7159391270136213'),
              ('Charms', '-232.79405'),
              ('Flying', '-26.89')]),
 OrderedDict([('Index', '1'),
              ('Hogwarts House', 'Slytherin'),
              ('First Name', 'Erich'),
              ('Last Name', 'Paredes'),
              ('Birthday', '1999-10-14'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '67239.0'),
              ('Astronomy', '-552.0605073421984'),
              ('Herbology', '-5.987445780050746'),
              ('Defense Against the Dark Arts', '5.520605073421985'),
              ('Divination', '-5.612'),
              ('Muggle Studies', '-487.3405572673422'),
              ('Ancient Runes', '367.7603030171392'),
              ('History of Magic', '4.107170286816076'),
              ('Transfiguration', '1058.9445920642218'),
              ('Potions', '7.248741976146588'),
              ('Care of Magical Creatures', '0.091674183916857'),
              ('Charms', '-252.18425'),
              ('Flying', '-113.45')]),
 OrderedDict([('Index', '2'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Stephany'),
              ('Last Name', 'Braun'),
              ('Birthday', '1999-11-03'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '23702.0'),
              ('Astronomy', '-366.0761168823237'),
              ('Herbology', '7.7250166064392305'),
              ('Defense Against the Dark Arts', '3.6607611688232367'),
              ('Divination', '6.14'),
              ('Muggle Studies', '664.8935212343011'),
              ('Ancient Runes', '602.5852838484592'),
              ('History of Magic', '3.5555789956034967'),
              ('Transfiguration', '1088.0883479121803'),
              ('Potions', '8.728530920939827'),
              ('Care of Magical Creatures', '-0.5153268462809037'),
              ('Charms', '-227.34265'),
              ('Flying', '30.42')]),
 OrderedDict([('Index', '3'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Vesta'),
              ('Last Name', 'Mcmichael'),
              ('Birthday', '2000-08-19'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '32667.0'),
              ('Astronomy', '697.742808842469'),
              ('Herbology', '-6.4972144445985505'),
              ('Defense Against the Dark Arts', '-6.9774280884246895'),
              ('Divination', '4.026'),
              ('Muggle Studies', '-537.0011283872882'),
              ('Ancient Runes', '523.9821331934736'),
              ('History of Magic', '-4.8096366069645935'),
              ('Transfiguration', '920.3914493107919'),
              ('Potions', '0.8219105005879808'),
              ('Care of Magical Creatures', '-0.014040417239052931'),
              ('Charms', '-256.84675'),
              ('Flying', '200.64')]),
 OrderedDict([('Index', '4'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Gaston'),
              ('Last Name', 'Gibbs'),
              ('Birthday', '1998-09-27'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '60158.0'),
              ('Astronomy', '436.7752035539525'),
              ('Herbology', '-7.820623052454388'),
              ('Defense Against the Dark Arts', ''),
              ('Divination', '2.2359999999999998'),
              ('Muggle Studies', '-444.2625366004496'),
              ('Ancient Runes', '599.3245143172293'),
              ('History of Magic', '-3.4443765754165385'),
              ('Transfiguration', '937.4347240534976'),
              ('Potions', '4.311065821291761'),
              ('Care of Magical Creatures', '-0.2640700765443832'),
              ('Charms', '-256.3873'),
              ('Flying', '157.98')]),
 OrderedDict([('Index', '5'),
              ('Hogwarts House', 'Slytherin'),
              ('First Name', 'Corrine'),
              ('Last Name', 'Hammond'),
              ('Birthday', '1999-04-04'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '21209.0'),
              ('Astronomy', '-613.6871603822729'),
              ('Herbology', '-4.289196726941419'),
              ('Defense Against the Dark Arts', '6.136871603822727'),
              ('Divination', '-6.5920000000000005'),
              ('Muggle Studies', '-440.99770426820817'),
              ('Ancient Runes', '396.20180391410247'),
              ('History of Magic', '5.3802859494804585'),
              ('Transfiguration', '1052.8451637299704'),
              ('Potions', '11.751212035101073'),
              ('Care of Magical Creatures', '1.049894068203692'),
              ('Charms', '-247.94548999999998'),
              ('Flying', '-34.69')]),
 OrderedDict([('Index', '6'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Tom'),
              ('Last Name', 'Guido'),
              ('Birthday', '2000-09-30'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '49167.0'),
              ('Astronomy', '628.0460512248516'),
              ('Herbology', '-4.861976240490781'),
              ('Defense Against the Dark Arts', '-6.280460512248515'),
              ('Divination', ''),
              ('Muggle Studies', '-926.8925116349667'),
              ('Ancient Runes', '583.7424423327342'),
              ('History of Magic', '-7.322486416427907'),
              ('Transfiguration', '923.5395732944658'),
              ('Potions', '1.6466661386700716'),
              ('Care of Magical Creatures', '0.1530218296077356'),
              ('Charms', '-257.83447'),
              ('Flying', '261.55')]),
 OrderedDict([('Index', '7'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Alicia'),
              ('Last Name', 'Hayward'),
              ('Birthday', '1997-07-08'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '33010.0'),
              ('Astronomy', '411.4127268406701'),
              ('Herbology', '5.931831618301035'),
              ('Defense Against the Dark Arts', '-4.114127268406701'),
              ('Divination', '2.7689999999999997'),
              ('Muggle Studies', '-502.0213360777252'),
              ('Ancient Runes', '439.3514157413572'),
              ('History of Magic', ''),
              ('Transfiguration', '1041.091935399735'),
              ('Potions', '6.58179131885481'),
              ('Care of Magical Creatures', '-0.17170445234101908'),
              ('Charms', '-244.03492000000003'),
              ('Flying', '72.25')]),
 OrderedDict([('Index', '8'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Bella'),
              ('Last Name', 'Leatherman'),
              ('Birthday', '1998-12-07'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '20278.0'),
              ('Astronomy', '496.3949449852823'),
              ('Herbology', '-5.215891145868072'),
              ('Defense Against the Dark Arts', '-4.963949449852823'),
              ('Divination', '5.855'),
              ('Muggle Studies', '-626.552041128547'),
              ('Ancient Runes', '567.8424015938325'),
              ('History of Magic', '-6.198661229053442'),
              ('Transfiguration', '925.2555003872844'),
              ('Potions', '1.0865178213133744'),
              ('Care of Magical Creatures', '1.1470315267700957'),
              ('Charms', '-252.27561'),
              ('Flying', '244.11')]),
 OrderedDict([('Index', '9'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Hayden'),
              ('Last Name', 'Aponte'),
              ('Birthday', '2001-10-13'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '46316.0'),
              ('Astronomy', '527.1935850836812'),
              ('Herbology', '7.922205496177112'),
              ('Defense Against the Dark Arts', '-5.271935850836812'),
              ('Divination', '3.3560000000000003'),
              ('Muggle Studies', '-398.1019908932312'),
              ('Ancient Runes', '341.47560564416693'),
              ('History of Magic', '4.978613530314481'),
              ('Transfiguration', '1041.4146653613177'),
              ('Potions', '2.068824178512835'),
              ('Care of Magical Creatures', '-0.529578503638637'),
              ('Charms', '-244.57527000000002'),
              ('Flying', '-0.09')]),
 OrderedDict([('Index', '10'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Antonio'),
              ('Last Name', 'Denning'),
              ('Birthday', '1998-05-21'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '35619.0'),
              ('Astronomy', '604.9339619176021'),
              ('Herbology', '5.484188547740066'),
              ('Defense Against the Dark Arts', '-6.049339619176023'),
              ('Divination', '5.358'),
              ('Muggle Studies', '-530.7958955569857'),
              ('Ancient Runes', '484.8726713263256'),
              ('History of Magic', '5.6996535617818695'),
              ('Transfiguration', '1036.2853570584764'),
              ('Potions', '9.293131894951047'),
              ('Care of Magical Creatures', '-0.4965534984054157'),
              ('Charms', '-242.69168'),
              ('Flying', '64.61')]),
 OrderedDict([('Index', '11'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Neville'),
              ('Last Name', 'Hall'),
              ('Birthday', '2001-02-16'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '46550.0'),
              ('Astronomy', '438.55694958685325'),
              ('Herbology', '5.320518357754184'),
              ('Defense Against the Dark Arts', '-4.385569495868531'),
              ('Divination', '3.014'),
              ('Muggle Studies', '-518.5607177463045'),
              ('Ancient Runes', '417.0640932879666'),
              ('History of Magic', '4.8014365930153895'),
              ('Transfiguration', '1046.7619580239934'),
              ('Potions', '6.376965575596179'),
              ('Care of Magical Creatures', '-0.9196387437030824'),
              ('Charms', '-244.91343999999998'),
              ('Flying', '20.66')]),
 OrderedDict([('Index', '12'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Rocky'),
              ('Last Name', 'Trask'),
              ('Birthday', '2000-03-13'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '26647.0'),
              ('Astronomy', '709.0946138370517'),
              ('Herbology', '1.7053889315251418'),
              ('Defense Against the Dark Arts', '-7.0909461383705175'),
              ('Divination', '7.091'),
              ('Muggle Studies', '-328.7129552924333'),
              ('Ancient Runes', '435.50218282153816'),
              ('History of Magic', '6.300649174524696'),
              ('Transfiguration', '1037.0283168962144'),
              ('Potions', '8.110274495677984'),
              ('Care of Magical Creatures', '-0.9391444307251472'),
              ('Charms', '-244.00363'),
              ('Flying', '7.56')]),
 OrderedDict([('Index', '13'),
              ('Hogwarts House', 'Slytherin'),
              ('First Name', 'Fred'),
              ('Last Name', 'Simms'),
              ('Birthday', '1997-02-27'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '37984.0'),
              ('Astronomy', '-544.1920488261749'),
              ('Herbology', '-7.308855989623728'),
              ('Defense Against the Dark Arts', '5.441920488261747'),
              ('Divination', '-6.18'),
              ('Muggle Studies', '-319.94687532983534'),
              ('Ancient Runes', '391.6529162915922'),
              ('History of Magic', '2.91473188799465'),
              ('Transfiguration', '1082.5814087477208'),
              ('Potions', '10.948790872858233'),
              ('Care of Magical Creatures', '1.7738866787768597'),
              ('Charms', '-251.12516000000002'),
              ('Flying', '-80.42')]),
 OrderedDict([('Index', '14'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Jan'),
              ('Last Name', 'Saylor'),
              ('Birthday', '1998-03-16'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '44791.0'),
              ('Astronomy', '-197.52731769185084'),
              ('Herbology', '2.7424444339618588'),
              ('Defense Against the Dark Arts', '1.9752731769185083'),
              ('Divination', '6.603'),
              ('Muggle Studies', '527.3563229707513'),
              ('Ancient Runes', '605.5906004179383'),
              ('History of Magic', '5.480097322152394'),
              ('Transfiguration', '1063.522360673685'),
              ('Potions', '9.407484155858127'),
              ('Care of Magical Creatures', '-1.1126491143177455'),
              ('Charms', '-232.65964'),
              ('Flying', '-19.94')]),
 OrderedDict([('Index', '15'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Long'),
              ('Last Name', 'Burks'),
              ('Birthday', '2001-10-03'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '21630.0'),
              ('Astronomy', '-447.6498122360021'),
              ('Herbology', '4.046727136762162'),
              ('Defense Against the Dark Arts', '4.476498122360021'),
              ('Divination', '4.949'),
              ('Muggle Studies', '810.1544831409043'),
              ('Ancient Runes', '615.5310876490132'),
              ('History of Magic', '3.653494560249915'),
              ('Transfiguration', '1075.8538502533456'),
              ('Potions', '9.622899465889688'),
              ('Care of Magical Creatures', '0.5670955443680077'),
              ('Charms', '-229.38228999999998'),
              ('Flying', '17.0')]),
 OrderedDict([('Index', '16'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Fran'),
              ('Last Name', 'Jorgensen'),
              ('Birthday', '1997-09-23'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '41907.0'),
              ('Astronomy', '470.65375662672136'),
              ('Herbology', '-5.518263685781008'),
              ('Defense Against the Dark Arts', '-4.7065375662672135'),
              ('Divination', '4.425'),
              ('Muggle Studies', '-434.2932661222959'),
              ('Ancient Runes', '596.6100889263835'),
              ('History of Magic', '-4.1618229744065465'),
              ('Transfiguration', '967.2239116973597'),
              ('Potions', '5.027414761055882'),
              ('Care of Magical Creatures', '-1.135957011752296'),
              ('Charms', '-252.27344'),
              ('Flying', '174.27')]),
 OrderedDict([('Index', '17'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Freddie'),
              ('Last Name', 'Ward'),
              ('Birthday', '2001-05-31'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '58796.0'),
              ('Astronomy', '651.1987485578007'),
              ('Herbology', '-4.8207708528931414'),
              ('Defense Against the Dark Arts', '-6.5119874855780076'),
              ('Divination', '4.357'),
              ('Muggle Studies', '-468.2847232096298'),
              ('Ancient Runes', '626.3728860307857'),
              ('History of Magic', '-5.206672041512534'),
              ('Transfiguration', '935.5792903077672'),
              ('Potions', '3.0632066243706'),
              ('Care of Magical Creatures', '0.17361454831463918'),
              ('Charms', '-254.92326'),
              ('Flying', '212.37')]),
 OrderedDict([('Index', '18'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Tyrone'),
              ('Last Name', 'Cooley'),
              ('Birthday', '2000-03-09'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '15578.0'),
              ('Astronomy', '-151.08820873346482'),
              ('Herbology', '6.8718573378725765'),
              ('Defense Against the Dark Arts', '1.510882087334648'),
              ('Divination', '7.9060000000000015'),
              ('Muggle Studies', '645.4474512014251'),
              ('Ancient Runes', '607.4427290526703'),
              ('History of Magic', '6.317446315222874'),
              ('Transfiguration', '1091.054831002211'),
              ('Potions', '11.708777390143444'),
              ('Care of Magical Creatures', '0.2605563047012814'),
              ('Charms', '-226.76896000000002'),
              ('Flying', '11.22')]),
 OrderedDict([('Index', '19'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Elden'),
              ('Last Name', 'Scholl'),
              ('Birthday', '1999-04-18'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '56909.0'),
              ('Astronomy', '458.1270261474805'),
              ('Herbology', '6.981588542540248'),
              ('Defense Against the Dark Arts', '-4.581270261474805'),
              ('Divination', '5.686'),
              ('Muggle Studies', '-579.6685909175318'),
              ('Ancient Runes', '403.3276902605525'),
              ('History of Magic', '4.2658097542267495'),
              ('Transfiguration', '1052.0352351526687'),
              ('Potions', '3.4565189893797363'),
              ('Care of Magical Creatures', '0.0702055342612155'),
              ('Charms', '-242.99903999999998'),
              ('Flying', '3.81')]),
 OrderedDict([('Index', '20'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Mel'),
              ('Last Name', 'Marion'),
              ('Birthday', '1998-12-20'),
              ('Best Hand', 'Left'),
              ('Arithmancy', ''),
              ('Astronomy', '703.5535475473841'),
              ('Herbology', '-3.858216489463063'),
              ('Defense Against the Dark Arts', '-7.035535475473843'),
              ('Divination', '5.8660000000000005'),
              ('Muggle Studies', '-433.25035863215834'),
              ('Ancient Runes', '610.7326695816761'),
              ('History of Magic', '-5.029523289367204'),
              ('Transfiguration', '944.9723856289353'),
              ('Potions', '3.0358906702990742'),
              ('Care of Magical Creatures', '0.16250128642216274'),
              ('Charms', '-252.72547999999998'),
              ('Flying', '215.2')]),
 OrderedDict([('Index', '21'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Pansy'),
              ('Last Name', 'Mosher'),
              ('Birthday', '1999-12-15'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '31882.0'),
              ('Astronomy', '689.3561417314064'),
              ('Herbology', '-5.76315776392788'),
              ('Defense Against the Dark Arts', '-6.8935614173140625'),
              ('Divination', '5.942'),
              ('Muggle Studies', '-16.519432386501975'),
              ('Ancient Runes', ''),
              ('History of Magic', '-1.9744468934349493'),
              ('Transfiguration', '961.1128278945888'),
              ('Potions', '4.431963256041222'),
              ('Care of Magical Creatures', '1.5627795342839057'),
              ('Charms', '-251.21916000000002'),
              ('Flying', '136.89')]),
 OrderedDict([('Index', '22'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Joseph'),
              ('Last Name', 'Coulter'),
              ('Birthday', '2001-08-22'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '39873.0'),
              ('Astronomy', '-264.6783109979997'),
              ('Herbology', '5.949951054189216'),
              ('Defense Against the Dark Arts', '2.6467831099799968'),
              ('Divination', '6.829'),
              ('Muggle Studies', '745.4656657154428'),
              ('Ancient Runes', '626.8233315636505'),
              ('History of Magic', '4.886733220972539'),
              ('Transfiguration', '1079.5493945614721'),
              ('Potions', '9.318098487516489'),
              ('Care of Magical Creatures', '0.36438707213343535'),
              ('Charms', '-228.79359'),
              ('Flying', '-1.72')]),
 OrderedDict([('Index', '23'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Rosie'),
              ('Last Name', 'Tuggle'),
              ('Birthday', '1999-07-05'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '44987.0'),
              ('Astronomy', '673.1671096812503'),
              ('Herbology', '0.13151630549744284'),
              ('Defense Against the Dark Arts', '-6.731671096812503'),
              ('Divination', '9.421'),
              ('Muggle Studies', '-709.6964283834683'),
              ('Ancient Runes', '461.89673418950485'),
              ('History of Magic', '0.5318228689636264'),
              ('Transfiguration', '1073.5852035654214'),
              ('Potions', '6.346026797398995'),
              ('Care of Magical Creatures', '1.7477697551565254'),
              ('Charms', '-245.83067000000003'),
              ('Flying', '23.46')]),
 OrderedDict([('Index', '24'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Esther'),
              ('Last Name', 'Li'),
              ('Birthday', '2001-08-02'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '79537.0'),
              ('Astronomy', '-511.2264383563732'),
              ('Herbology', '7.963183549223157'),
              ('Defense Against the Dark Arts', '5.1122643835637325'),
              ('Divination', '5.769'),
              ('Muggle Studies', '419.7555989776198'),
              ('Ancient Runes', '663.157592339586'),
              ('History of Magic', '7.089607790294157'),
              ('Transfiguration', '1035.424804329289'),
              ('Potions', '7.288428374016317'),
              ('Care of Magical Creatures', '0.2360522784837765'),
              ('Charms', '-228.83988'),
              ('Flying', '-6.4')]),
 OrderedDict([('Index', '25'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Lucio'),
              ('Last Name', 'Wray'),
              ('Birthday', '1999-01-21'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '46505.0'),
              ('Astronomy', '508.1611883528949'),
              ('Herbology', '6.11314406193578'),
              ('Defense Against the Dark Arts', '-5.081611883528949'),
              ('Divination', '3.284'),
              ('Muggle Studies', '-387.5559813493135'),
              ('Ancient Runes', '407.31994051086957'),
              ('History of Magic', '5.142065215250079'),
              ('Transfiguration', '1037.0804332529328'),
              ('Potions', '5.109155180436624'),
              ('Care of Magical Creatures', '1.3300362081007877'),
              ('Charms', '-244.66168'),
              ('Flying', '19.76')]),
 OrderedDict([('Index', '26'),
              ('Hogwarts House', 'Slytherin'),
              ('First Name', 'Araceli'),
              ('Last Name', 'Flint'),
              ('Birthday', '1998-03-01'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '66246.0'),
              ('Astronomy', '-419.02208521911433'),
              ('Herbology', '-6.655229617697697'),
              ('Defense Against the Dark Arts', '4.1902208521911435'),
              ('Divination', '-6.006'),
              ('Muggle Studies', '-322.019869231814'),
              ('Ancient Runes', '408.62799964753634'),
              ('History of Magic', '4.83789747048606'),
              ('Transfiguration', '1039.9434988980925'),
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 OrderedDict([('Index', '27'),
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 OrderedDict([('Index', '28'),
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 OrderedDict([('Index', '29'),
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 OrderedDict([('Index', '30'),
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 OrderedDict([('Index', '31'),
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 OrderedDict([('Index', '32'),
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 OrderedDict([('Index', '33'),
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 OrderedDict([('Index', '34'),
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 OrderedDict([('Index', '35'),
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 OrderedDict([('Index', '36'),
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 OrderedDict([('Index', '37'),
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 OrderedDict([('Index', '38'),
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 OrderedDict([('Index', '39'),
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 OrderedDict([('Index', '40'),
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 OrderedDict([('Index', '41'),
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 OrderedDict([('Index', '42'),
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 OrderedDict([('Index', '43'),
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 OrderedDict([('Index', '44'),
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 OrderedDict([('Index', '45'),
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 OrderedDict([('Index', '46'),
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 OrderedDict([('Index', '47'),
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 OrderedDict([('Index', '48'),
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 OrderedDict([('Index', '49'),
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 OrderedDict([('Index', '50'),
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 OrderedDict([('Index', '51'),
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 OrderedDict([('Index', '52'),
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 OrderedDict([('Index', '53'),
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 OrderedDict([('Index', '54'),
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 OrderedDict([('Index', '55'),
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 OrderedDict([('Index', '56'),
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 OrderedDict([('Index', '57'),
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 OrderedDict([('Index', '58'),
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 OrderedDict([('Index', '59'),
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 OrderedDict([('Index', '60'),
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 OrderedDict([('Index', '61'),
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 OrderedDict([('Index', '63'),
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 OrderedDict([('Index', '65'),
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 OrderedDict([('Index', '66'),
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 OrderedDict([('Index', '67'),
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 OrderedDict([('Index', '68'),
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 OrderedDict([('Index', '69'),
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 OrderedDict([('Index', '70'),
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 OrderedDict([('Index', '71'),
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 OrderedDict([('Index', '72'),
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 OrderedDict([('Index', '73'),
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 OrderedDict([('Index', '74'),
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 OrderedDict([('Index', '75'),
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 OrderedDict([('Index', '76'),
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 OrderedDict([('Index', '77'),
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 OrderedDict([('Index', '78'),
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 OrderedDict([('Index', '79'),
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 OrderedDict([('Index', '80'),
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 OrderedDict([('Index', '99'),
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 OrderedDict([('Index', '100'),
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 OrderedDict([('Index', '102'),
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 OrderedDict([('Index', '103'),
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 OrderedDict([('Index', '106'),
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 OrderedDict([('Index', '108'),
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 OrderedDict([('Index', '109'),
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 OrderedDict([('Index', '110'),
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 OrderedDict([('Index', '111'),
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 OrderedDict([('Index', '112'),
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 OrderedDict([('Index', '114'),
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 OrderedDict([('Index', '115'),
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 OrderedDict([('Index', '116'),
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 OrderedDict([('Index', '117'),
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 OrderedDict([('Index', '118'),
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 OrderedDict([('Index', '119'),
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 OrderedDict([('Index', '120'),
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 OrderedDict([('Index', '121'),
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 OrderedDict([('Index', '122'),
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 OrderedDict([('Index', '123'),
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 OrderedDict([('Index', '124'),
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 OrderedDict([('Index', '125'),
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 OrderedDict([('Index', '126'),
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 OrderedDict([('Index', '127'),
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 OrderedDict([('Index', '128'),
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 OrderedDict([('Index', '129'),
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 OrderedDict([('Index', '130'),
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 OrderedDict([('Index', '131'),
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 OrderedDict([('Index', '132'),
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 OrderedDict([('Index', '133'),
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 OrderedDict([('Index', '134'),
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 OrderedDict([('Index', '135'),
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 OrderedDict([('Index', '154'),
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 OrderedDict([('Index', '155'),
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 OrderedDict([('Index', '156'),
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 OrderedDict([('Index', '157'),
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 OrderedDict([('Index', '158'),
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 OrderedDict([('Index', '160'),
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 OrderedDict([('Index', '161'),
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 OrderedDict([('Index', '162'),
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 OrderedDict([('Index', '179'),
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 OrderedDict([('Index', '180'),
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 OrderedDict([('Index', '181'),
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 OrderedDict([('Index', '182'),
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 OrderedDict([('Index', '183'),
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 OrderedDict([('Index', '184'),
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 OrderedDict([('Index', '185'),
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 OrderedDict([('Index', '186'),
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 OrderedDict([('Index', '187'),
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 OrderedDict([('Index', '188'),
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 OrderedDict([('Index', '189'),
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 OrderedDict([('Index', '190'),
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 OrderedDict([('Index', '191'),
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 OrderedDict([('Index', '192'),
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 OrderedDict([('Index', '193'),
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 OrderedDict([('Index', '194'),
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 OrderedDict([('Index', '195'),
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 OrderedDict([('Index', '196'),
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 OrderedDict([('Index', '197'),
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 OrderedDict([('Index', '198'),
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 OrderedDict([('Index', '199'),
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 OrderedDict([('Index', '200'),
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 OrderedDict([('Index', '201'),
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 OrderedDict([('Index', '202'),
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 OrderedDict([('Index', '203'),
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 OrderedDict([('Index', '204'),
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 OrderedDict([('Index', '205'),
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 OrderedDict([('Index', '206'),
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 OrderedDict([('Index', '207'),
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 OrderedDict([('Index', '208'),
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 OrderedDict([('Index', '209'),
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 OrderedDict([('Index', '210'),
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 OrderedDict([('Index', '211'),
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 OrderedDict([('Index', '212'),
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 OrderedDict([('Index', '213'),
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 OrderedDict([('Index', '214'),
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 OrderedDict([('Index', '215'),
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 OrderedDict([('Index', '216'),
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 OrderedDict([('Index', '217'),
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 OrderedDict([('Index', '218'),
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 OrderedDict([('Index', '219'),
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 OrderedDict([('Index', '220'),
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 OrderedDict([('Index', '221'),
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 OrderedDict([('Index', '222'),
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 OrderedDict([('Index', '223'),
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 OrderedDict([('Index', '224'),
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 OrderedDict([('Index', '225'),
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 OrderedDict([('Index', '226'),
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 OrderedDict([('Index', '227'),
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 OrderedDict([('Index', '228'),
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 OrderedDict([('Index', '229'),
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 OrderedDict([('Index', '230'),
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 OrderedDict([('Index', '231'),
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 OrderedDict([('Index', '232'),
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 OrderedDict([('Index', '233'),
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 OrderedDict([('Index', '234'),
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 OrderedDict([('Index', '235'),
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 OrderedDict([('Index', '236'),
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 OrderedDict([('Index', '237'),
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 OrderedDict([('Index', '238'),
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 OrderedDict([('Index', '239'),
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 OrderedDict([('Index', '240'),
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 OrderedDict([('Index', '241'),
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 OrderedDict([('Index', '242'),
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 OrderedDict([('Index', '243'),
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 OrderedDict([('Index', '244'),
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 OrderedDict([('Index', '245'),
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 OrderedDict([('Index', '246'),
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 OrderedDict([('Index', '247'),
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 OrderedDict([('Index', '248'),
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 OrderedDict([('Index', '249'),
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 OrderedDict([('Index', '250'),
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 OrderedDict([('Index', '251'),
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 OrderedDict([('Index', '252'),
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 OrderedDict([('Index', '253'),
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 OrderedDict([('Index', '254'),
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 OrderedDict([('Index', '255'),
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 OrderedDict([('Index', '256'),
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 OrderedDict([('Index', '257'),
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 OrderedDict([('Index', '258'),
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 OrderedDict([('Index', '259'),
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 OrderedDict([('Index', '260'),
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 OrderedDict([('Index', '261'),
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 OrderedDict([('Index', '262'),
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 OrderedDict([('Index', '263'),
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 OrderedDict([('Index', '264'),
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 OrderedDict([('Index', '265'),
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 OrderedDict([('Index', '266'),
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 OrderedDict([('Index', '267'),
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 OrderedDict([('Index', '268'),
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 OrderedDict([('Index', '269'),
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 OrderedDict([('Index', '270'),
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 OrderedDict([('Index', '271'),
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 OrderedDict([('Index', '294'),
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 OrderedDict([('Index', '295'),
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 OrderedDict([('Index', '297'),
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 OrderedDict([('Index', '298'),
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 OrderedDict([('Index', '300'),
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 OrderedDict([('Index', '301'),
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 OrderedDict([('Index', '304'),
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 OrderedDict([('Index', '306'),
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 OrderedDict([('Index', '307'),
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 OrderedDict([('Index', '309'),
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 OrderedDict([('Index', '313'),
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 OrderedDict([('Index', '314'),
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 OrderedDict([('Index', '315'),
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 OrderedDict([('Index', '316'),
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 OrderedDict([('Index', '317'),
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 OrderedDict([('Index', '318'),
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 OrderedDict([('Index', '319'),
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 OrderedDict([('Index', '320'),
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 OrderedDict([('Index', '321'),
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 OrderedDict([('Index', '322'),
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 OrderedDict([('Index', '323'),
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 OrderedDict([('Index', '324'),
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 OrderedDict([('Index', '325'),
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 OrderedDict([('Index', '326'),
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 OrderedDict([('Index', '327'),
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 OrderedDict([('Index', '328'),
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 OrderedDict([('Index', '329'),
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 OrderedDict([('Index', '331'),
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 OrderedDict([('Index', '333'),
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 OrderedDict([('Index', '334'),
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 OrderedDict([('Index', '335'),
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 OrderedDict([('Index', '336'),
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 OrderedDict([('Index', '337'),
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 OrderedDict([('Index', '338'),
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 OrderedDict([('Index', '339'),
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 OrderedDict([('Index', '340'),
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 OrderedDict([('Index', '341'),
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 OrderedDict([('Index', '342'),
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 OrderedDict([('Index', '343'),
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 OrderedDict([('Index', '344'),
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 OrderedDict([('Index', '345'),
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 OrderedDict([('Index', '346'),
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 OrderedDict([('Index', '347'),
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 OrderedDict([('Index', '348'),
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 OrderedDict([('Index', '349'),
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 OrderedDict([('Index', '350'),
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 OrderedDict([('Index', '351'),
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 OrderedDict([('Index', '352'),
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 OrderedDict([('Index', '353'),
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 OrderedDict([('Index', '355'),
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 OrderedDict([('Index', '356'),
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 OrderedDict([('Index', '357'),
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 OrderedDict([('Index', '358'),
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 OrderedDict([('Index', '359'),
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 OrderedDict([('Index', '360'),
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 OrderedDict([('Index', '361'),
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 OrderedDict([('Index', '362'),
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 OrderedDict([('Index', '363'),
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 OrderedDict([('Index', '364'),
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 OrderedDict([('Index', '365'),
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 OrderedDict([('Index', '366'),
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 OrderedDict([('Index', '367'),
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 OrderedDict([('Index', '368'),
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 OrderedDict([('Index', '369'),
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 OrderedDict([('Index', '370'),
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 OrderedDict([('Index', '371'),
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 OrderedDict([('Index', '372'),
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 OrderedDict([('Index', '373'),
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 OrderedDict([('Index', '374'),
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 OrderedDict([('Index', '375'),
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 OrderedDict([('Index', '376'),
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 OrderedDict([('Index', '377'),
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 OrderedDict([('Index', '378'),
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 OrderedDict([('Index', '379'),
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 OrderedDict([('Index', '380'),
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 OrderedDict([('Index', '381'),
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 OrderedDict([('Index', '382'),
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 OrderedDict([('Index', '383'),
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 OrderedDict([('Index', '384'),
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 OrderedDict([('Index', '386'),
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 OrderedDict([('Index', '388'),
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 OrderedDict([('Index', '391'),
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 OrderedDict([('Index', '396'),
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 OrderedDict([('Index', '398'),
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 OrderedDict([('Index', '399'),
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 OrderedDict([('Index', '400'),
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 OrderedDict([('Index', '401'),
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 OrderedDict([('Index', '402'),
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 OrderedDict([('Index', '403'),
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 OrderedDict([('Index', '404'),
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 OrderedDict([('Index', '405'),
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 OrderedDict([('Index', '406'),
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 OrderedDict([('Index', '407'),
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 OrderedDict([('Index', '408'),
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 OrderedDict([('Index', '409'),
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 OrderedDict([('Index', '410'),
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 OrderedDict([('Index', '411'),
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 OrderedDict([('Index', '412'),
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 OrderedDict([('Index', '413'),
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 OrderedDict([('Index', '414'),
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 OrderedDict([('Index', '415'),
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 OrderedDict([('Index', '416'),
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 OrderedDict([('Index', '417'),
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 OrderedDict([('Index', '418'),
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 OrderedDict([('Index', '419'),
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 OrderedDict([('Index', '420'),
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 OrderedDict([('Index', '421'),
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 OrderedDict([('Index', '422'),
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 OrderedDict([('Index', '423'),
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 OrderedDict([('Index', '424'),
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 OrderedDict([('Index', '425'),
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 OrderedDict([('Index', '426'),
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 OrderedDict([('Index', '427'),
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 OrderedDict([('Index', '428'),
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 OrderedDict([('Index', '429'),
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 OrderedDict([('Index', '430'),
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 OrderedDict([('Index', '431'),
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 OrderedDict([('Index', '432'),
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 OrderedDict([('Index', '433'),
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 OrderedDict([('Index', '434'),
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 OrderedDict([('Index', '435'),
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 OrderedDict([('Index', '436'),
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 OrderedDict([('Index', '437'),
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 OrderedDict([('Index', '438'),
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 OrderedDict([('Index', '439'),
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 OrderedDict([('Index', '440'),
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 OrderedDict([('Index', '441'),
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 OrderedDict([('Index', '442'),
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 OrderedDict([('Index', '443'),
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 OrderedDict([('Index', '444'),
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 OrderedDict([('Index', '445'),
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 OrderedDict([('Index', '446'),
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 OrderedDict([('Index', '447'),
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 OrderedDict([('Index', '448'),
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 OrderedDict([('Index', '449'),
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 OrderedDict([('Index', '450'),
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 OrderedDict([('Index', '451'),
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 OrderedDict([('Index', '452'),
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 OrderedDict([('Index', '453'),
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 OrderedDict([('Index', '454'),
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 OrderedDict([('Index', '455'),
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 OrderedDict([('Index', '456'),
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 OrderedDict([('Index', '457'),
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 OrderedDict([('Index', '458'),
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 OrderedDict([('Index', '459'),
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 OrderedDict([('Index', '460'),
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 OrderedDict([('Index', '461'),
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 OrderedDict([('Index', '462'),
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 OrderedDict([('Index', '464'),
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 OrderedDict([('Index', '465'),
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 OrderedDict([('Index', '466'),
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 OrderedDict([('Index', '467'),
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 OrderedDict([('Index', '468'),
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 OrderedDict([('Index', '471'),
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 OrderedDict([('Index', '475'),
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 OrderedDict([('Index', '476'),
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 OrderedDict([('Index', '477'),
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 OrderedDict([('Index', '478'),
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 OrderedDict([('Index', '479'),
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 OrderedDict([('Index', '480'),
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 OrderedDict([('Index', '481'),
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 OrderedDict([('Index', '482'),
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 OrderedDict([('Index', '483'),
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 OrderedDict([('Index', '484'),
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 OrderedDict([('Index', '485'),
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 OrderedDict([('Index', '486'),
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 OrderedDict([('Index', '487'),
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 OrderedDict([('Index', '488'),
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 OrderedDict([('Index', '489'),
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 OrderedDict([('Index', '490'),
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 OrderedDict([('Index', '491'),
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 OrderedDict([('Index', '492'),
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 OrderedDict([('Index', '493'),
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 OrderedDict([('Index', '495'),
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 OrderedDict([('Index', '496'),
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 OrderedDict([('Index', '497'),
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 OrderedDict([('Index', '498'),
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 OrderedDict([('Index', '499'),
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 OrderedDict([('Index', '500'),
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 OrderedDict([('Index', '501'),
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 OrderedDict([('Index', '502'),
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 OrderedDict([('Index', '503'),
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 OrderedDict([('Index', '504'),
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 OrderedDict([('Index', '505'),
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 OrderedDict([('Index', '506'),
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 OrderedDict([('Index', '507'),
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 OrderedDict([('Index', '508'),
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 OrderedDict([('Index', '509'),
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 OrderedDict([('Index', '510'),
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 OrderedDict([('Index', '511'),
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 OrderedDict([('Index', '512'),
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 OrderedDict([('Index', '513'),
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 OrderedDict([('Index', '514'),
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 OrderedDict([('Index', '515'),
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 OrderedDict([('Index', '516'),
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 OrderedDict([('Index', '517'),
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 OrderedDict([('Index', '518'),
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 OrderedDict([('Index', '520'),
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 OrderedDict([('Index', '523'),
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 OrderedDict([('Index', '524'),
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 OrderedDict([('Index', '525'),
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 OrderedDict([('Index', '529'),
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 OrderedDict([('Index', '530'),
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 OrderedDict([('Index', '532'),
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 OrderedDict([('Index', '533'),
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 OrderedDict([('Index', '534'),
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 OrderedDict([('Index', '535'),
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 OrderedDict([('Index', '536'),
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 OrderedDict([('Index', '537'),
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 OrderedDict([('Index', '538'),
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 OrderedDict([('Index', '539'),
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 OrderedDict([('Index', '540'),
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 OrderedDict([('Index', '541'),
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 OrderedDict([('Index', '542'),
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 OrderedDict([('Index', '560'),
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 OrderedDict([('Index', '561'),
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 OrderedDict([('Index', '562'),
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 OrderedDict([('Index', '563'),
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 OrderedDict([('Index', '564'),
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 OrderedDict([('Index', '566'),
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 OrderedDict([('Index', '567'),
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 OrderedDict([('Index', '568'),
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 OrderedDict([('Index', '569'),
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 OrderedDict([('Index', '570'),
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 OrderedDict([('Index', '571'),
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 OrderedDict([('Index', '572'),
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 OrderedDict([('Index', '573'),
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 OrderedDict([('Index', '574'),
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 OrderedDict([('Index', '575'),
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 OrderedDict([('Index', '577'),
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 OrderedDict([('Index', '581'),
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 OrderedDict([('Index', '584'),
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 OrderedDict([('Index', '585'),
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 OrderedDict([('Index', '586'),
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 OrderedDict([('Index', '587'),
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 OrderedDict([('Index', '588'),
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 OrderedDict([('Index', '589'),
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 OrderedDict([('Index', '590'),
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 OrderedDict([('Index', '591'),
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 OrderedDict([('Index', '592'),
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 OrderedDict([('Index', '593'),
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 OrderedDict([('Index', '594'),
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 OrderedDict([('Index', '595'),
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 OrderedDict([('Index', '596'),
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 OrderedDict([('Index', '597'),
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 OrderedDict([('Index', '598'),
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 OrderedDict([('Index', '599'),
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 OrderedDict([('Index', '600'),
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 OrderedDict([('Index', '601'),
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 OrderedDict([('Index', '602'),
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 OrderedDict([('Index', '603'),
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 OrderedDict([('Index', '604'),
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 OrderedDict([('Index', '605'),
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 OrderedDict([('Index', '606'),
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 OrderedDict([('Index', '607'),
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 OrderedDict([('Index', '608'),
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 OrderedDict([('Index', '609'),
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 OrderedDict([('Index', '610'),
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 OrderedDict([('Index', '611'),
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 OrderedDict([('Index', '612'),
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 OrderedDict([('Index', '613'),
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 OrderedDict([('Index', '614'),
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 OrderedDict([('Index', '615'),
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 OrderedDict([('Index', '616'),
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 OrderedDict([('Index', '617'),
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 OrderedDict([('Index', '618'),
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 OrderedDict([('Index', '619'),
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 OrderedDict([('Index', '620'),
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 OrderedDict([('Index', '621'),
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 OrderedDict([('Index', '622'),
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 OrderedDict([('Index', '623'),
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 OrderedDict([('Index', '624'),
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 OrderedDict([('Index', '647'),
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 OrderedDict([('Index', '651'),
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 OrderedDict([('Index', '652'),
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 OrderedDict([('Index', '669'),
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 OrderedDict([('Index', '670'),
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 OrderedDict([('Index', '671'),
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 OrderedDict([('Index', '672'),
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 OrderedDict([('Index', '674'),
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 OrderedDict([('Index', '675'),
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 OrderedDict([('Index', '676'),
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 OrderedDict([('Index', '677'),
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 OrderedDict([('Index', '678'),
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 OrderedDict([('Index', '679'),
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 OrderedDict([('Index', '681'),
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 OrderedDict([('Index', '682'),
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 OrderedDict([('Index', '692'),
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 OrderedDict([('Index', '693'),
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 OrderedDict([('Index', '694'),
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 OrderedDict([('Index', '695'),
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 OrderedDict([('Index', '696'),
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 OrderedDict([('Index', '697'),
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 OrderedDict([('Index', '698'),
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 OrderedDict([('Index', '699'),
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 OrderedDict([('Index', '700'),
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 OrderedDict([('Index', '701'),
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 OrderedDict([('Index', '702'),
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 OrderedDict([('Index', '703'),
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 OrderedDict([('Index', '704'),
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 OrderedDict([('Index', '705'),
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 OrderedDict([('Index', '708'),
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 OrderedDict([('Index', '720'),
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 OrderedDict([('Index', '725'),
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 OrderedDict([('Index', '726'),
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 OrderedDict([('Index', '727'),
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 OrderedDict([('Index', '728'),
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 OrderedDict([('Index', '730'),
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 OrderedDict([('Index', '731'),
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 OrderedDict([('Index', '732'),
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 OrderedDict([('Index', '735'),
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 OrderedDict([('Index', '737'),
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 OrderedDict([('Index', '750'),
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 OrderedDict([('Index', '751'),
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 OrderedDict([('Index', '752'),
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 OrderedDict([('Index', '753'),
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 OrderedDict([('Index', '754'),
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 OrderedDict([('Index', '755'),
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 OrderedDict([('Index', '758'),
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 OrderedDict([('Index', '759'),
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 OrderedDict([('Index', '760'),
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 OrderedDict([('Index', '765'),
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 OrderedDict([('Index', '775'),
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 OrderedDict([('Index', '776'),
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 OrderedDict([('Index', '777'),
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 OrderedDict([('Index', '778'),
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 OrderedDict([('Index', '779'),
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 OrderedDict([('Index', '780'),
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 OrderedDict([('Index', '781'),
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 OrderedDict([('Index', '782'),
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 OrderedDict([('Index', '783'),
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 OrderedDict([('Index', '784'),
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 OrderedDict([('Index', '785'),
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 OrderedDict([('Index', '786'),
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 OrderedDict([('Index', '787'),
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 OrderedDict([('Index', '788'),
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 OrderedDict([('Index', '789'),
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 OrderedDict([('Index', '790'),
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 OrderedDict([('Index', '791'),
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 OrderedDict([('Index', '792'),
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 OrderedDict([('Index', '793'),
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 OrderedDict([('Index', '794'),
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 OrderedDict([('Index', '796'),
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 OrderedDict([('Index', '798'),
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 OrderedDict([('Index', '801'),
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 OrderedDict([('Index', '802'),
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 OrderedDict([('Index', '803'),
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 OrderedDict([('Index', '804'),
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 OrderedDict([('Index', '805'),
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 OrderedDict([('Index', '806'),
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 OrderedDict([('Index', '807'),
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 OrderedDict([('Index', '808'),
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 OrderedDict([('Index', '809'),
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 OrderedDict([('Index', '810'),
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 OrderedDict([('Index', '811'),
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 OrderedDict([('Index', '812'),
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 OrderedDict([('Index', '813'),
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 OrderedDict([('Index', '814'),
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 OrderedDict([('Index', '815'),
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 OrderedDict([('Index', '816'),
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 OrderedDict([('Index', '817'),
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 OrderedDict([('Index', '818'),
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 OrderedDict([('Index', '820'),
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 OrderedDict([('Index', '823'),
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 OrderedDict([('Index', '825'),
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 OrderedDict([('Index', '827'),
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 OrderedDict([('Index', '828'),
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 OrderedDict([('Index', '830'),
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 OrderedDict([('Index', '831'),
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 OrderedDict([('Index', '832'),
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 OrderedDict([('Index', '833'),
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 OrderedDict([('Index', '834'),
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 OrderedDict([('Index', '835'),
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 OrderedDict([('Index', '836'),
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 OrderedDict([('Index', '837'),
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 OrderedDict([('Index', '838'),
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 OrderedDict([('Index', '839'),
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 OrderedDict([('Index', '840'),
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 OrderedDict([('Index', '841'),
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 OrderedDict([('Index', '858'),
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 OrderedDict([('Index', '859'),
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 OrderedDict([('Index', '860'),
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 OrderedDict([('Index', '861'),
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 OrderedDict([('Index', '862'),
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 OrderedDict([('Index', '863'),
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 OrderedDict([('Index', '865'),
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 OrderedDict([('Index', '866'),
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 OrderedDict([('Index', '867'),
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 OrderedDict([('Index', '868'),
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 OrderedDict([('Index', '886'),
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 OrderedDict([('Index', '888'),
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 OrderedDict([('Index', '889'),
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 OrderedDict([('Index', '890'),
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 OrderedDict([('Index', '891'),
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 OrderedDict([('Index', '892'),
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 OrderedDict([('Index', '893'),
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 OrderedDict([('Index', '894'),
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 OrderedDict([('Index', '895'),
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 OrderedDict([('Index', '896'),
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 OrderedDict([('Index', '912'),
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 OrderedDict([('Index', '914'),
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 OrderedDict([('Index', '915'),
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 OrderedDict([('Index', '917'),
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 OrderedDict([('Index', '918'),
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 OrderedDict([('Index', '919'),
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 OrderedDict([('Index', '920'),
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 OrderedDict([('Index', '921'),
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 OrderedDict([('Index', '922'),
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 OrderedDict([('Index', '925'),
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 OrderedDict([('Index', '937'),
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 OrderedDict([('Index', '940'),
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 OrderedDict([('Index', '941'),
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 OrderedDict([('Index', '942'),
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 OrderedDict([('Index', '943'),
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 OrderedDict([('Index', '944'),
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 OrderedDict([('Index', '945'),
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 OrderedDict([('Index', '947'),
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 OrderedDict([('Index', '948'),
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 OrderedDict([('Index', '950'),
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 OrderedDict([('Index', '951'),
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 OrderedDict([('Index', '952'),
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 OrderedDict([('Index', '958'),
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 OrderedDict([('Index', '960'),
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 OrderedDict([('Index', '962'),
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 OrderedDict([('Index', '963'),
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 OrderedDict([('Index', '965'),
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 OrderedDict([('Index', '966'),
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 OrderedDict([('Index', '967'),
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 OrderedDict([('Index', '968'),
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 OrderedDict([('Index', '969'),
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 OrderedDict([('Index', '970'),
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 OrderedDict([('Index', '971'),
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 OrderedDict([('Index', '972'),
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 OrderedDict([('Index', '973'),
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 OrderedDict([('Index', '974'),
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 OrderedDict([('Index', '975'),
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 OrderedDict([('Index', '976'),
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 OrderedDict([('Index', '977'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Garret'),
              ('Last Name', 'Whitt'),
              ('Birthday', '2000-07-04'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '47732.0'),
              ('Astronomy', '684.750326211266'),
              ('Herbology', '6.239811307014454'),
              ('Defense Against the Dark Arts', '-6.84750326211266'),
              ('Divination', '5.335'),
              ('Muggle Studies', '-671.0508188655083'),
              ('Ancient Runes', '379.39253966230314'),
              ('History of Magic', '7.020960449543837'),
              ('Transfiguration', '1059.8639023556702'),
              ('Potions', '6.922956543697895'),
              ('Care of Magical Creatures', '0.7879520244202038'),
              ('Charms', '-244.5346'),
              ('Flying', '-16.02')]),
 OrderedDict([('Index', '978'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Shanda'),
              ('Last Name', 'Trammell'),
              ('Birthday', '1999-12-01'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '63037.0'),
              ('Astronomy', '420.4479124974639'),
              ('Herbology', '-3.4255745105386395'),
              ('Defense Against the Dark Arts', '-4.204479124974638'),
              ('Divination', '5.075'),
              ('Muggle Studies', ''),
              ('Ancient Runes', '642.396916853246'),
              ('History of Magic', '-6.942882194804263'),
              ('Transfiguration', '957.0840139059997'),
              ('Potions', '2.8914398485876465'),
              ('Care of Magical Creatures', '1.1337186915957072'),
              ('Charms', '-252.55696'),
              ('Flying', '227.03')]),
 OrderedDict([('Index', '979'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Laverne'),
              ('Last Name', 'Lyman'),
              ('Birthday', '2001-08-10'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '62335.0'),
              ('Astronomy', '-494.71588779467766'),
              ('Herbology', '5.706576162057555'),
              ('Defense Against the Dark Arts', '4.9471588779467774'),
              ('Divination', '5.351'),
              ('Muggle Studies', '703.1950027877783'),
              ('Ancient Runes', '611.7904542682281'),
              ('History of Magic', '3.739277600269785'),
              ('Transfiguration', '1044.2477361526255'),
              ('Potions', ''),
              ('Care of Magical Creatures', '-0.7087374777368822'),
              ('Charms', '-230.78405'),
              ('Flying', '-7.31')]),
 OrderedDict([('Index', '980'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Terrance'),
              ('Last Name', 'Gamble'),
              ('Birthday', '1997-03-25'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '50653.0'),
              ('Astronomy', '-308.6546773157165'),
              ('Herbology', '4.669156629420209'),
              ('Defense Against the Dark Arts', '3.0865467731571647'),
              ('Divination', '6.4179999999999975'),
              ('Muggle Studies', '421.98332913869524'),
              ('Ancient Runes', '659.2548817663203'),
              ('History of Magic', '3.4317935020437367'),
              ('Transfiguration', '1043.0540100245134'),
              ('Potions', '8.108177615449637'),
              ('Care of Magical Creatures', '0.0263935140660152'),
              ('Charms', '-231.60539'),
              ('Flying', '46.02')]),
 OrderedDict([('Index', '981'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Collette'),
              ('Last Name', 'Kingsley'),
              ('Birthday', '2001-02-12'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '73031.0'),
              ('Astronomy', '288.19256072532164'),
              ('Herbology', '-2.9427922903995425'),
              ('Defense Against the Dark Arts', '-2.8819256072532164'),
              ('Divination', '5.598'),
              ('Muggle Studies', '-892.9694953057888'),
              ('Ancient Runes', '633.3117311478925'),
              ('History of Magic', '-7.712050784363768'),
              ('Transfiguration', '961.1263124232539'),
              ('Potions', '1.0863739336709828'),
              ('Care of Magical Creatures', '0.6118093891413541'),
              ('Charms', '-251.96294'),
              ('Flying', '215.07')]),
 OrderedDict([('Index', '982'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Virgil'),
              ('Last Name', 'Bechtel'),
              ('Birthday', '1996-12-04'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '48926.0'),
              ('Astronomy', '-225.19098775272232'),
              ('Herbology', '5.92273080109759'),
              ('Defense Against the Dark Arts', '2.251909877527224'),
              ('Divination', '6.901'),
              ('Muggle Studies', '532.4948430822346'),
              ('Ancient Runes', '605.6336395658543'),
              ('History of Magic', '4.10439831005549'),
              ('Transfiguration', '1053.5489411548797'),
              ('Potions', '6.437951190911093'),
              ('Care of Magical Creatures', '0.10777243140792564'),
              ('Charms', '-231.12434'),
              ('Flying', '12.97')]),
 OrderedDict([('Index', '983'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Walker'),
              ('Last Name', 'Baldridge'),
              ('Birthday', '2001-09-15'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '30966.0'),
              ('Astronomy', '-220.0793962056789'),
              ('Herbology', '4.806454180126309'),
              ('Defense Against the Dark Arts', '2.200793962056789'),
              ('Divination', '6.652'),
              ('Muggle Studies', '446.12489124974616'),
              ('Ancient Runes', '590.0026292750057'),
              ('History of Magic', '3.8433728548011215'),
              ('Transfiguration', '1063.2639753827991'),
              ('Potions', '8.080243738757357'),
              ('Care of Magical Creatures', '3.0565457738978123'),
              ('Charms', '-231.38192'),
              ('Flying', '24.17')]),
 OrderedDict([('Index', '984'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Lori'),
              ('Last Name', 'Lavigne'),
              ('Birthday', '1999-03-03'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '72095.0'),
              ('Astronomy', '557.4450761518831'),
              ('Herbology', '3.084233634206244'),
              ('Defense Against the Dark Arts', '-5.574450761518833'),
              ('Divination', '6.766'),
              ('Muggle Studies', '-761.5189158307405'),
              ('Ancient Runes', '429.20720532102234'),
              ('History of Magic', '4.488621499642565'),
              ('Transfiguration', '1074.8137547065157'),
              ('Potions', '6.441428647805036'),
              ('Care of Magical Creatures', '-0.4668083601352399'),
              ('Charms', '-245.82715'),
              ('Flying', '-39.31')]),
 OrderedDict([('Index', '985'),
              ('Hogwarts House', 'Slytherin'),
              ('First Name', 'Kevin'),
              ('Last Name', 'Easterling'),
              ('Birthday', '1998-02-17'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '52033.0'),
              ('Astronomy', '-475.3346587224769'),
              ('Herbology', '-7.8798189282977305'),
              ('Defense Against the Dark Arts', '4.753346587224768'),
              ('Divination', '-5.8729999999999976'),
              ('Muggle Studies', '-248.7632614726862'),
              ('Ancient Runes', '425.5114969894952'),
              ('History of Magic', '3.232833714873022'),
              ('Transfiguration', '1065.0796296863111'),
              ('Potions', '10.617007329476689'),
              ('Care of Magical Creatures', '0.8167715485312382'),
              ('Charms', '-252.14371'),
              ('Flying', '-80.15')]),
 OrderedDict([('Index', '986'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Fidel'),
              ('Last Name', 'Eagle'),
              ('Birthday', '2001-09-10'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '4047.0'),
              ('Astronomy', '-383.0333987947785'),
              ('Herbology', '1.923503804848829'),
              ('Defense Against the Dark Arts', '3.8303339879477853'),
              ('Divination', '4.729'),
              ('Muggle Studies', '305.84423370075484'),
              ('Ancient Runes', '560.2076834008622'),
              ('History of Magic', '4.901420417423896'),
              ('Transfiguration', '1066.8451563659496'),
              ('Potions', '11.229533465087297'),
              ('Care of Magical Creatures', '-0.3931314259859302'),
              ('Charms', '-232.10082000000003'),
              ('Flying', '23.12')]),
 OrderedDict([('Index', '987'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Clair'),
              ('Last Name', 'Keener'),
              ('Birthday', '1997-03-10'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '29786.0'),
              ('Astronomy', '283.64811844149574'),
              ('Herbology', '-4.62744909380308'),
              ('Defense Against the Dark Arts', '-2.8364811844149576'),
              ('Divination', '7.937'),
              ('Muggle Studies', '-63.712911151838725'),
              ('Ancient Runes', '570.3616375327963'),
              ('History of Magic', '-3.719277333643428'),
              ('Transfiguration', '986.0561557211557'),
              ('Potions', '2.3388793040737337'),
              ('Care of Magical Creatures', '-0.3280216290413217'),
              ('Charms', '-245.76393'),
              ('Flying', '122.72')]),
 OrderedDict([('Index', '988'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Landon'),
              ('Last Name', 'Barclay'),
              ('Birthday', '2000-03-06'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '61478.0'),
              ('Astronomy', '-609.877736823669'),
              ('Herbology', '3.732553323793432'),
              ('Defense Against the Dark Arts', '6.098777368236692'),
              ('Divination', '5.048'),
              ('Muggle Studies', '505.2227343481037'),
              ('Ancient Runes', '664.0020869898545'),
              ('History of Magic', '4.2912524966651695'),
              ('Transfiguration', '1038.3590860429877'),
              ('Potions', '7.611582110602797'),
              ('Care of Magical Creatures', '0.14979653227511722'),
              ('Charms', '-230.87772999999999'),
              ('Flying', '10.65')]),
 OrderedDict([('Index', '989'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Delilah'),
              ('Last Name', 'Compton'),
              ('Birthday', '2000-06-13'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '10329.0'),
              ('Astronomy', '-617.3040592011004'),
              ('Herbology', '1.4328134621160946'),
              ('Defense Against the Dark Arts', '6.173040592011003'),
              ('Divination', '2.489'),
              ('Muggle Studies', '564.9925526953859'),
              ('Ancient Runes', '591.865747465436'),
              ('History of Magic', '4.42797347861599'),
              ('Transfiguration', '1069.6985519546463'),
              ('Potions', '11.70845680406569'),
              ('Care of Magical Creatures', '1.2210783376699121'),
              ('Charms', '-231.61222999999998'),
              ('Flying', '16.41')]),
 OrderedDict([('Index', '990'),
              ('Hogwarts House', 'Slytherin'),
              ('First Name', 'Jaime'),
              ('Last Name', 'Gill'),
              ('Birthday', '1998-08-26'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '33081.0'),
              ('Astronomy', '-606.8929836731268'),
              ('Herbology', '-3.2735111404947173'),
              ('Defense Against the Dark Arts', '6.068929836731268'),
              ('Divination', '-1.719'),
              ('Muggle Studies', '-806.416703353123'),
              ('Ancient Runes', '377.5506125543286'),
              ('History of Magic', '7.590097861950518'),
              ('Transfiguration', '1051.1379890437945'),
              ('Potions', '9.953663901846742'),
              ('Care of Magical Creatures', '-1.0992769567519705'),
              ('Charms', '-244.64844'),
              ('Flying', '-78.55')]),
 OrderedDict([('Index', '991'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Ernestina'),
              ('Last Name', 'Faust'),
              ('Birthday', '1998-11-05'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '57471.0'),
              ('Astronomy', '471.6205386184009'),
              ('Herbology', '3.7481183639112365'),
              ('Defense Against the Dark Arts', '-4.71620538618401'),
              ('Divination', '4.088'),
              ('Muggle Studies', '-438.0063879167185'),
              ('Ancient Runes', '413.06094158919836'),
              ('History of Magic', '5.935986602210938'),
              ('Transfiguration', '1047.4291674145702'),
              ('Potions', '6.053988927577182'),
              ('Care of Magical Creatures', '-1.9421939241616533'),
              ('Charms', '-245.38567'),
              ('Flying', '-25.94')]),
 OrderedDict([('Index', '992'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Casey'),
              ('Last Name', 'Nix'),
              ('Birthday', '2001-03-04'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '22862.0'),
              ('Astronomy', ''),
              ('Herbology', '0.4278419978586845'),
              ('Defense Against the Dark Arts', '3.60073407732599'),
              ('Divination', '5.5829999999999975'),
              ('Muggle Studies', '775.8609714337916'),
              ('Ancient Runes', '611.8516055796332'),
              ('History of Magic', ''),
              ('Transfiguration', '1078.1124801486912'),
              ('Potions', '10.145464814714435'),
              ('Care of Magical Creatures', '1.9164445074957244'),
              ('Charms', '-232.19797999999997'),
              ('Flying', '-3.77')]),
 OrderedDict([('Index', '993'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Geneva'),
              ('Last Name', 'Cazares'),
              ('Birthday', '1997-11-02'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '38936.0'),
              ('Astronomy', '498.8167141972831'),
              ('Herbology', '7.921588146530496'),
              ('Defense Against the Dark Arts', '-4.988167141972831'),
              ('Divination', '3.767'),
              ('Muggle Studies', '-382.7548412407816'),
              ('Ancient Runes', '369.7181090916205'),
              ('History of Magic', '6.2298629570244'),
              ('Transfiguration', '1032.5307337749812'),
              ('Potions', '3.743207716157849'),
              ('Care of Magical Creatures', '0.8108821477404081'),
              ('Charms', '-242.88521'),
              ('Flying', '13.21')]),
 OrderedDict([('Index', '994'),
              ('Hogwarts House', 'Ravenclaw'),
              ('First Name', 'Wade'),
              ('Last Name', 'Rau'),
              ('Birthday', '1997-03-29'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '93332.0'),
              ('Astronomy', '-344.6408678273616'),
              ('Herbology', '7.315133753797165'),
              ('Defense Against the Dark Arts', '3.4464086782736163'),
              ('Divination', '7.235'),
              ('Muggle Studies', '649.0017225424784'),
              ('Ancient Runes', '680.1641353465584'),
              ('History of Magic', '4.974460431935081'),
              ('Transfiguration', '1047.4026492968974'),
              ('Potions', '5.5806875992570735'),
              ('Care of Magical Creatures', '1.1822039045101482'),
              ('Charms', '-230.00162000000003'),
              ('Flying', '-19.39')]),
 OrderedDict([('Index', '995'),
              ('Hogwarts House', 'Slytherin'),
              ('First Name', 'Judy'),
              ('Last Name', 'Prince'),
              ('Birthday', '2001-09-13'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '47180.0'),
              ('Astronomy', '-470.24144543272456'),
              ('Herbology', '-3.3555765211333086'),
              ('Defense Against the Dark Arts', '4.702414454327244'),
              ('Divination', '-6.725'),
              ('Muggle Studies', '-279.6030667566746'),
              ('Ancient Runes', '427.01350930339134'),
              ('History of Magic', ''),
              ('Transfiguration', '1040.9159739978286'),
              ('Potions', '8.066360672933136'),
              ('Care of Magical Creatures', '-2.111009400502256'),
              ('Charms', '-250.67684'),
              ('Flying', '-9.09')]),
 OrderedDict([('Index', '996'),
              ('Hogwarts House', 'Gryffindor'),
              ('First Name', 'Corinne'),
              ('Last Name', 'Odum'),
              ('Birthday', '2000-09-20'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '46834.0'),
              ('Astronomy', '93.57414148230595'),
              ('Herbology', '-8.663936453752306'),
              ('Defense Against the Dark Arts', ''),
              ('Divination', '3.6639999999999997'),
              ('Muggle Studies', '-433.1452386890312'),
              ('Ancient Runes', '540.6540072684584'),
              ('History of Magic', '-4.155169118452162'),
              ('Transfiguration', '939.6404930403007'),
              ('Potions', ''),
              ('Care of Magical Creatures', '1.353165395276162'),
              ('Charms', '-253.21298'),
              ('Flying', '124.38')]),
 OrderedDict([('Index', '997'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Randall'),
              ('Last Name', 'Suarez'),
              ('Birthday', '1999-11-26'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '70008.0'),
              ('Astronomy', '272.07163583393867'),
              ('Herbology', '4.349899215682891'),
              ('Defense Against the Dark Arts', '-2.7207163583393865'),
              ('Divination', '5.8229999999999995'),
              ('Muggle Studies', '-778.4496857528444'),
              ('Ancient Runes', '427.2526382602792'),
              ('History of Magic', '6.336927762560327'),
              ('Transfiguration', '1070.8767088849693'),
              ('Potions', '6.818488447244612'),
              ('Care of Magical Creatures', '-1.862924155511048'),
              ('Charms', '-242.79217000000003'),
              ('Flying', '-52.27')]),
 OrderedDict([('Index', '998'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Zackary'),
              ('Last Name', 'Barajas'),
              ('Birthday', '1997-01-09'),
              ('Best Hand', 'Left'),
              ('Arithmancy', '25573.0'),
              ('Astronomy', '736.1978186799658'),
              ('Herbology', '3.831587951099196'),
              ('Defense Against the Dark Arts', '-7.361978186799657'),
              ('Divination', '3.227'),
              ('Muggle Studies', '-354.9845677113553'),
              ('Ancient Runes', '410.9398221894578'),
              ('History of Magic', '8.747921499533799'),
              ('Transfiguration', '1034.9161898971367'),
              ('Potions', '10.399371582495586'),
              ('Care of Magical Creatures', '-2.3248243720790978'),
              ('Charms', '-245.4523'),
              ('Flying', '9.77')]),
 OrderedDict([('Index', '999'),
              ('Hogwarts House', 'Hufflepuff'),
              ('First Name', 'Kristi'),
              ('Last Name', 'Holman'),
              ('Birthday', '1997-04-24'),
              ('Best Hand', 'Right'),
              ('Arithmancy', '61931.0'),
              ('Astronomy', '467.09978624175767'),
              ('Herbology', '2.2951923716156366'),
              ('Defense Against the Dark Arts', '-4.670997862417575'),
              ('Divination', '5.079'),
              ('Muggle Studies', '-695.5355940729864'),
              ('Ancient Runes', '404.42664924933337'),
              ('History of Magic', '6.140868326447103'),
              ('Transfiguration', '1073.1595885065994'),
              ('Potions', '7.735978932667915'),
              ('Care of Magical Creatures', '0.6214296575732435'),
              ('Charms', '-245.9408'),
              ('Flying', '-57.27')]),
 ...]
In [115]:
# extract column names
colnames = data[0].keys()
colnames
Out[115]:
odict_keys(['Index', 'Hogwarts House', 'First Name', 'Last Name', 'Birthday', 'Best Hand', 'Arithmancy', 'Astronomy', 'Herbology', 'Defense Against the Dark Arts', 'Divination', 'Muggle Studies', 'Ancient Runes', 'History of Magic', 'Transfiguration', 'Potions', 'Care of Magical Creatures', 'Charms', 'Flying'])
In [116]:
data_column = {}
for col in colnames:
    col_values = []
    for dic in data:
        try:
            col_values.append(float(dic[col]))
        except ValueError :
            col_values.append(str(dic[col]))
    data_column[col] = col_values
data_column
Out[116]:
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  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Gryffindor',
  'Slytherin',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Slytherin',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Slytherin',
  'Gryffindor',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Slytherin',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Slytherin',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Slytherin',
  'Slytherin',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Slytherin',
  'Gryffindor',
  'Slytherin',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Gryffindor',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Slytherin',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Slytherin',
  'Slytherin',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Ravenclaw',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Ravenclaw',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Slytherin',
  'Gryffindor',
  'Ravenclaw',
  'Ravenclaw',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Gryffindor',
  'Hufflepuff',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Slytherin',
  'Ravenclaw',
  'Hufflepuff',
  'Slytherin',
  'Slytherin',
  'Slytherin',
  'Slytherin',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Ravenclaw',
  'Gryffindor',
  'Hufflepuff',
  'Hufflepuff',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Gryffindor',
  'Gryffindor',
  'Slytherin',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Hufflepuff',
  'Hufflepuff',
  'Hufflepuff',
  'Ravenclaw',
  'Ravenclaw',
  'Gryffindor',
  'Gryffindor',
  'Slytherin',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Gryffindor',
  'Slytherin',
  'Slytherin',
  'Slytherin',
  'Slytherin',
  'Slytherin',
  'Gryffindor',
  'Hufflepuff',
  'Slytherin',
  'Gryffindor',
  'Slytherin',
  'Ravenclaw',
  'Slytherin',
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  ...]}

compute values for pd.describe() function

standalone functions

standalone max

In [117]:
def isnumeric(entry):
    try:
        float(entry)
        return True
    except ValueError:
        return False
In [118]:
def muggle_max(column):
    result = column[0]
    for entry in column:
        if isnumeric(entry):
            if entry > result:
                result = entry
    return result

standalone min

In [119]:
def muggle_min(column):
    result = column[0]
    for entry in column:
        if isnumeric(entry):
            if entry < result:
                result = entry
    return result

standalone count

In [120]:
def muggle_count(column):
    result = sum(isinstance(num, float) for num in column)
    return result

standalone std

In [121]:
def muggle_std(column, mean, count):
    import math
    numerator = 0
    for entry in column:
        if isnumeric(entry):
            numerator += (entry - mean)**2
        denom = count - 1
        std = math.sqrt(numerator / denom)
    return std

standalone mean

In [122]:
def muggle_mean(column):
    count = 
  File "<ipython-input-122-d5d1766fb42b>", line 2
    count =
            ^
SyntaxError: invalid syntax
In [123]:
describe = {k: [] for k in ["count", "mean", "std", "min","25%", "50%", "75%", "max"]}
describe
Out[123]:
{'25%': [],
 '50%': [],
 '75%': [],
 'count': [],
 'max': [],
 'mean': [],
 'min': [],
 'std': []}

count()

In [124]:
for colname in data_column:
    if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
        count = "Not numeric"
    else:
        # filter out None values from counting
        count = muggle_count(data_column[colname])
        # count = len(data_column[colname]) # this counts up empty values as well
    describe["count"].append(count)
describe
Out[124]:
{'25%': [],
 '50%': [],
 '75%': [],
 'count': [1600,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  1566,
  1568,
  1567,
  1569,
  1561,
  1565,
  1565,
  1557,
  1566,
  1570,
  1560,
  1600,
  1600],
 'max': [],
 'mean': [],
 'min': [],
 'std': []}

mean()

In [125]:
#sum(filter(None, data_column['Ancient Runes']))

for colname in data_column:
    dict_index = list(data_column.keys()).index(colname)
    count = describe["count"][dict_index]
    if count != "Not numeric":
        mean = sum([i for i in data_column[colname] if isinstance(i, float)]) / count
    else:
        mean = "Not numeric"
    describe["mean"].append(mean)
describe
Out[125]:
{'25%': [],
 '50%': [],
 '75%': [],
 'count': [1600,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  1566,
  1568,
  1567,
  1569,
  1561,
  1565,
  1565,
  1557,
  1566,
  1570,
  1560,
  1600,
  1600],
 'max': [],
 'mean': [799.5,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  49634.57024265645,
  39.797130890164766,
  1.1410195296768058,
  -0.38786349744178583,
  3.1539096732863516,
  -224.5899148634645,
  495.747970059158,
  2.9630946151165927,
  1030.0969463871313,
  5.9503729927800775,
  -0.0534271367004963,
  -243.3744090125,
  21.958012499999985],
 'min': [],
 'std': []}

std()

In [126]:
#sum(filter(None, data_column['Ancient Runes']))


for colname in data_column:
    dict_index = list(data_column.keys()).index(colname)
    count = describe["count"][dict_index]
    mean = describe["mean"][dict_index]
    if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
        std = "Not numeric"
    else:
        std = muggle_std(data_column[colname],mean,count)
    describe["std"].append(std)
describe
Out[126]:
{'25%': [],
 '50%': [],
 '75%': [],
 'count': [1600,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  1566,
  1568,
  1567,
  1569,
  1561,
  1565,
  1565,
  1557,
  1566,
  1570,
  1560,
  1600,
  1600],
 'max': [],
 'mean': [799.5,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  49634.57024265645,
  39.797130890164766,
  1.1410195296768058,
  -0.38786349744178583,
  3.1539096732863516,
  -224.5899148634645,
  495.747970059158,
  2.9630946151165927,
  1030.0969463871313,
  5.9503729927800775,
  -0.0534271367004963,
  -243.3744090125,
  21.958012499999985],
 'min': [],
 'std': [462.0245303732981,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  16679.806035559308,
  520.298267605171,
  5.219681993531829,
  5.212793707585852,
  4.155300897977581,
  486.3448396520667,
  106.28516457845276,
  4.425774656123574,
  44.12511586678027,
  3.14785425039337,
  0.971456967725625,
  8.783639876017116,
  97.63160206806155]}

max()

In [127]:
for colname in data_column:
    if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
        max_value = "Not numeric"
    else:
        max_value = muggle_max(data_column[colname])
    describe["max"].append(max_value)
describe
Out[127]:
{'25%': [],
 '50%': [],
 '75%': [],
 'count': [1600,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  1566,
  1568,
  1567,
  1569,
  1561,
  1565,
  1565,
  1557,
  1566,
  1570,
  1560,
  1600,
  1600],
 'max': [1599.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  104956.0,
  1016.2119403873959,
  11.612895082210851,
  9.667405456412162,
  10.032,
  1092.3886105728684,
  745.3962198761234,
  11.889712754042707,
  1098.9582005409077,
  13.536762124994421,
  3.0565457738978123,
  -225.42813999999998,
  279.07],
 'mean': [799.5,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  49634.57024265645,
  39.797130890164766,
  1.1410195296768058,
  -0.38786349744178583,
  3.1539096732863516,
  -224.5899148634645,
  495.747970059158,
  2.9630946151165927,
  1030.0969463871313,
  5.9503729927800775,
  -0.0534271367004963,
  -243.3744090125,
  21.958012499999985],
 'min': [],
 'std': [462.0245303732981,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  16679.806035559308,
  520.298267605171,
  5.219681993531829,
  5.212793707585852,
  4.155300897977581,
  486.3448396520667,
  106.28516457845276,
  4.425774656123574,
  44.12511586678027,
  3.14785425039337,
  0.971456967725625,
  8.783639876017116,
  97.63160206806155]}

min()

In [128]:
for colname in data_column:
    if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
        min_value = "Not numeric"
    else:
        min_value = muggle_min(data_column[colname])
    describe["min"].append(min_value)
describe
Out[128]:
{'25%': [],
 '50%': [],
 '75%': [],
 'count': [1600,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  1566,
  1568,
  1567,
  1569,
  1561,
  1565,
  1565,
  1557,
  1566,
  1570,
  1560,
  1600,
  1600],
 'max': [1599.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  104956.0,
  1016.2119403873959,
  11.612895082210851,
  9.667405456412162,
  10.032,
  1092.3886105728684,
  745.3962198761234,
  11.889712754042707,
  1098.9582005409077,
  13.536762124994421,
  3.0565457738978123,
  -225.42813999999998,
  279.07],
 'mean': [799.5,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  49634.57024265645,
  39.797130890164766,
  1.1410195296768058,
  -0.38786349744178583,
  3.1539096732863516,
  -224.5899148634645,
  495.747970059158,
  2.9630946151165927,
  1030.0969463871313,
  5.9503729927800775,
  -0.0534271367004963,
  -243.3744090125,
  21.958012499999985],
 'min': [0.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  -24370.0,
  -966.7405456412164,
  -10.295662748653244,
  -10.16211940387396,
  -8.727,
  -1086.4968348887983,
  283.8696087336624,
  -8.858992991610515,
  906.6273196915248,
  -4.697483767872527,
  -3.313675764124477,
  -261.04892,
  -181.47],
 'std': [462.0245303732981,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  16679.806035559308,
  520.298267605171,
  5.219681993531829,
  5.212793707585852,
  4.155300897977581,
  486.3448396520667,
  106.28516457845276,
  4.425774656123574,
  44.12511586678027,
  3.14785425039337,
  0.971456967725625,
  8.783639876017116,
  97.63160206806155]}

25%

In [129]:
# test = data_column['Ancient Runes'].remove(None)
# test
#while "" in data_column['Ancient Runes']: data_column['Ancient Runes'].remove("")   
sorted_column = sorted([elem for elem in data_column['Ancient Runes'] if elem != ''])
sorted_column
Out[129]:
[283.8696087336624,
 298.21895991191036,
 299.9832769012167,
 302.56240901356443,
 302.89290879777644,
 307.8595362768459,
 311.9260923001503,
 312.7376723691338,
 312.8282722622843,
 314.30122353349253,
 315.70420686755614,
 316.0940578886565,
 317.697969869971,
 319.1080196126196,
 320.31860529605365,
 322.22165536711805,
 323.4515005267623,
 323.6682537657317,
 325.8143841057654,
 326.63658884603484,
 327.38462690306415,
 327.6896556508358,
 328.38160032983745,
 328.5446156481811,
 328.7159240775466,
 328.7538476856115,
 330.0154228550568,
 330.1794215648631,
 330.43933194955866,
 330.99167222789987,
 331.7419593406437,
 333.3277714655556,
 333.6560195053469,
 333.70473751706606,
 334.09609989333217,
 335.23456452572975,
 336.03108524921794,
 336.50614583541494,
 336.6360753157603,
 336.67060973529027,
 336.7813889165632,
 336.91673473968103,
 337.19150756573936,
 337.6545036593012,
 339.06348133055326,
 339.7751540064821,
 340.65908405482054,
 341.47560564416693,
 342.6973081853523,
 343.39296962583734,
 343.94400609756514,
 345.05035969230613,
 345.33854225537607,
 345.45002794477654,
 345.53744608115716,
 345.55387007774414,
 345.6513310742178,
 346.10425281828276,
 346.8305870522988,
 346.89826052188386,
 347.1858612771973,
 347.3995122924344,
 347.4120254178552,
 347.5395781240191,
 348.013724492062,
 348.03554148037836,
 348.1352064320032,
 348.35672446399064,
 348.53520024264475,
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 539.9321259338851,
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 540.4167445606979,
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 ...]
In [130]:
def muggle_percentile(N, P):
    """
    N: a list
    P: percentile
    """
    sorted_column = sorted([elem for elem in N if elem != ''])
    n = int(round(P * len(sorted_column) + 0.5))
    return sorted_column[n-1]
muggle_percentile(data_column['Ancient Runes'], 0.5)
Out[130]:
463.91830514671324
In [131]:
muggle_percentile(data_column['Ancient Runes'], 0.5)
Out[131]:
463.91830514671324
In [132]:
for colname in data_column:
    if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
        p25 = "Not numeric"
    else:
        p25 = muggle_percentile(data_column[colname], 0.25)
    describe["25%"].append(p25)
describe
Out[132]:
{'25%': [399.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  38510.0,
  -489.7242166202939,
  -4.312118224021038,
  -5.259095401342299,
  3.0989999999999998,
  -577.5800963375425,
  397.5110469338152,
  2.218653320946669,
  1026.1717128767511,
  3.644899504448004,
  -0.6734392951104043,
  -250.66859,
  -41.96],
 '50%': [],
 '75%': [],
 'count': [1600,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  1566,
  1568,
  1567,
  1569,
  1561,
  1565,
  1565,
  1557,
  1566,
  1570,
  1560,
  1600,
  1600],
 'max': [1599.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  104956.0,
  1016.2119403873959,
  11.612895082210851,
  9.667405456412162,
  10.032,
  1092.3886105728684,
  745.3962198761234,
  11.889712754042707,
  1098.9582005409077,
  13.536762124994421,
  3.0565457738978123,
  -225.42813999999998,
  279.07],
 'mean': [799.5,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  49634.57024265645,
  39.797130890164766,
  1.1410195296768058,
  -0.38786349744178583,
  3.1539096732863516,
  -224.5899148634645,
  495.747970059158,
  2.9630946151165927,
  1030.0969463871313,
  5.9503729927800775,
  -0.0534271367004963,
  -243.3744090125,
  21.958012499999985],
 'min': [0.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  -24370.0,
  -966.7405456412164,
  -10.295662748653244,
  -10.16211940387396,
  -8.727,
  -1086.4968348887983,
  283.8696087336624,
  -8.858992991610515,
  906.6273196915248,
  -4.697483767872527,
  -3.313675764124477,
  -261.04892,
  -181.47],
 'std': [462.0245303732981,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  16679.806035559308,
  520.298267605171,
  5.219681993531829,
  5.212793707585852,
  4.155300897977581,
  486.3448396520667,
  106.28516457845276,
  4.425774656123574,
  44.12511586678027,
  3.14785425039337,
  0.971456967725625,
  8.783639876017116,
  97.63160206806155]}

50%

In [133]:
for colname in data_column:
    if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
        p50 = "Not numeric"
    else:
        p50 = muggle_percentile(data_column[colname], 0.5)
    describe["50%"].append(p50)
describe
Out[133]:
{'25%': [399.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  38510.0,
  -489.7242166202939,
  -4.312118224021038,
  -5.259095401342299,
  3.0989999999999998,
  -577.5800963375425,
  397.5110469338152,
  2.218653320946669,
  1026.1717128767511,
  3.644899504448004,
  -0.6734392951104043,
  -250.66859,
  -41.96],
 '50%': [799.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  49018.0,
  258.9341614422865,
  3.4690121044769087,
  -2.5893416144228647,
  4.624,
  -419.16429373366526,
  463.91830514671324,
  4.378175538816984,
  1045.5333354167144,
  5.877581884166013,
  -0.0463258852266251,
  -244.86802000000003,
  -2.52],
 '75%': [],
 'count': [1600,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  1566,
  1568,
  1567,
  1569,
  1561,
  1565,
  1565,
  1557,
  1566,
  1570,
  1560,
  1600,
  1600],
 'max': [1599.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  104956.0,
  1016.2119403873959,
  11.612895082210851,
  9.667405456412162,
  10.032,
  1092.3886105728684,
  745.3962198761234,
  11.889712754042707,
  1098.9582005409077,
  13.536762124994421,
  3.0565457738978123,
  -225.42813999999998,
  279.07],
 'mean': [799.5,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  49634.57024265645,
  39.797130890164766,
  1.1410195296768058,
  -0.38786349744178583,
  3.1539096732863516,
  -224.5899148634645,
  495.747970059158,
  2.9630946151165927,
  1030.0969463871313,
  5.9503729927800775,
  -0.0534271367004963,
  -243.3744090125,
  21.958012499999985],
 'min': [0.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  -24370.0,
  -966.7405456412164,
  -10.295662748653244,
  -10.16211940387396,
  -8.727,
  -1086.4968348887983,
  283.8696087336624,
  -8.858992991610515,
  906.6273196915248,
  -4.697483767872527,
  -3.313675764124477,
  -261.04892,
  -181.47],
 'std': [462.0245303732981,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  16679.806035559308,
  520.298267605171,
  5.219681993531829,
  5.212793707585852,
  4.155300897977581,
  486.3448396520667,
  106.28516457845276,
  4.425774656123574,
  44.12511586678027,
  3.14785425039337,
  0.971456967725625,
  8.783639876017116,
  97.63160206806155]}

75%

In [134]:
for colname in data_column:
    if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
        p75 = "Not numeric"
    else:
        p75 = muggle_percentile(data_column[colname], 0.75)
    describe["75%"].append(p75)
describe
Out[134]:
{'25%': [399.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  38510.0,
  -489.7242166202939,
  -4.312118224021038,
  -5.259095401342299,
  3.0989999999999998,
  -577.5800963375425,
  397.5110469338152,
  2.218653320946669,
  1026.1717128767511,
  3.644899504448004,
  -0.6734392951104043,
  -250.66859,
  -41.96],
 '50%': [799.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  49018.0,
  258.9341614422865,
  3.4690121044769087,
  -2.5893416144228647,
  4.624,
  -419.16429373366526,
  463.91830514671324,
  4.378175538816984,
  1045.5333354167144,
  5.877581884166013,
  -0.0463258852266251,
  -244.86802000000003,
  -2.52],
 '75%': [1199.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  60828.0,
  524.3927519144191,
  5.4210456374755775,
  4.904680078747834,
  5.6670000000000025,
  254.99485732415616,
  597.4922295175508,
  5.8252416563826825,
  1058.445387777596,
  8.248788657581947,
  0.5884103638811112,
  -232.55749,
  50.45],
 'count': [1600,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  1566,
  1568,
  1567,
  1569,
  1561,
  1565,
  1565,
  1557,
  1566,
  1570,
  1560,
  1600,
  1600],
 'max': [1599.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  104956.0,
  1016.2119403873959,
  11.612895082210851,
  9.667405456412162,
  10.032,
  1092.3886105728684,
  745.3962198761234,
  11.889712754042707,
  1098.9582005409077,
  13.536762124994421,
  3.0565457738978123,
  -225.42813999999998,
  279.07],
 'mean': [799.5,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  49634.57024265645,
  39.797130890164766,
  1.1410195296768058,
  -0.38786349744178583,
  3.1539096732863516,
  -224.5899148634645,
  495.747970059158,
  2.9630946151165927,
  1030.0969463871313,
  5.9503729927800775,
  -0.0534271367004963,
  -243.3744090125,
  21.958012499999985],
 'min': [0.0,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  -24370.0,
  -966.7405456412164,
  -10.295662748653244,
  -10.16211940387396,
  -8.727,
  -1086.4968348887983,
  283.8696087336624,
  -8.858992991610515,
  906.6273196915248,
  -4.697483767872527,
  -3.313675764124477,
  -261.04892,
  -181.47],
 'std': [462.0245303732981,
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  'Not numeric',
  16679.806035559308,
  520.298267605171,
  5.219681993531829,
  5.212793707585852,
  4.155300897977581,
  486.3448396520667,
  106.28516457845276,
  4.425774656123574,
  44.12511586678027,
  3.14785425039337,
  0.971456967725625,
  8.783639876017116,
  97.63160206806155]}

V.2 Data Visualization

V.2.1 Histogram

In [135]:
import numpy as np
import pandas as pd
import math
from matplotlib import pyplot as plt
import seaborn as sns; sns.set(style="ticks", color_codes=True)
In [136]:
train = pd.read_csv("resources/dataset_train.csv")
In [137]:
data = np.array(train["Arithmancy"])
Ravenclaw = np.array(train[train["Hogwarts House"] == "Ravenclaw"]["Arithmancy"])
Slytherin = np.array(train[train["Hogwarts House"] == "Slytherin"]["Arithmancy"])
Gryffindor = np.array(train[train["Hogwarts House"] == "Gryffindor"]["Arithmancy"])
Hufflepuff = np.array(train[train["Hogwarts House"] == "Hufflepuff"]["Arithmancy"])
In [138]:
Ravenclaw = Ravenclaw[~np.isnan(Ravenclaw)]
Slytherin = Slytherin[~np.isnan(Slytherin)]
Gryffindor = Gryffindor[~np.isnan(Gryffindor)]
Hufflepuff = Hufflepuff[~np.isnan(Hufflepuff)]

bins = np.linspace(math.ceil(min(data)),  math.floor(max(data)), 20)


plt.hist(Ravenclaw, bins = bins, alpha=0.1, color = "blue", label="Ravenclaw")
plt.hist(Slytherin, bins = bins, alpha=0.1, color = "gray", label="Slytherin")
plt.hist(Gryffindor, bins = bins, alpha=0.1, color = "red", label="Gryffindor")
plt.hist(Hufflepuff, bins = bins, alpha=0.1, color = "green", label="Hufflepuff")

plt.legend(bbox_to_anchor=(0., 1.02, 1., .102), loc=3,
           ncol=2, mode="expand", borderaxespad=0.)
# plt.legend((Ravenclaw, Slytherin, Gryffindor, Hufflepuff), ("Ravenclaw", "Slytherin", "Gryffindor", "Hufflepuff"))

plt.title('Arithmancy')
plt.ylabel('count')

plt.show()
In [162]:
subjects = ["Arithmancy", "Astronomy", "Herbology", "Defense Against the Dark Arts", "Divination", "Muggle Studies", "Ancient Runes", "History of Magic", "Transfiguration", "Potions", "Care of Magical Creatures", "Charms", "Flying"]
for subject in subjects:
    data = np.array(train[subject])
    Ravenclaw = np.array(train[train["Hogwarts House"] == "Ravenclaw"][subject])
    Slytherin = np.array(train[train["Hogwarts House"] == "Slytherin"][subject])
    Gryffindor = np.array(train[train["Hogwarts House"] == "Gryffindor"][subject])
    Hufflepuff = np.array(train[train["Hogwarts House"] == "Hufflepuff"][subject])
    Ravenclaw = Ravenclaw[~np.isnan(Ravenclaw)]
    Slytherin = Slytherin[~np.isnan(Slytherin)]
    Gryffindor = Gryffindor[~np.isnan(Gryffindor)]
    Hufflepuff = Hufflepuff[~np.isnan(Hufflepuff)]
    
    bins = np.linspace(math.ceil(min(data)),  math.floor(max(data)), 20)
    
    plt.hist(Ravenclaw, bins = bins, alpha=0.3, color = "blue", label="Ravenclaw")
    plt.hist(Slytherin, bins = bins, alpha=0.3, color = "gray", label="Slytherin")
    plt.hist(Gryffindor, bins = bins, alpha=0.3, color = "red", label="Gryffindor")
    plt.hist(Hufflepuff, bins = bins, alpha=0.3, color = "green", label="Hufflepuff")

    plt.title(subject)
    plt.ylabel('count')
    plt.legend(bbox_to_anchor=(0., 1.02, 1., .102), loc=3,
               ncol=2, mode="expand", borderaxespad=0.)

    plt.show()
    

V.2.2 Scatter plot

In [163]:
scatter_data = train[["Defense Against the Dark Arts",  "Astronomy"]]
scatter_data = scatter_data.dropna(axis=0, how='any')
x = scatter_data["Defense Against the Dark Arts"]
y = scatter_data["Astronomy"]
plt.scatter(x, y)
plt.show()
In [179]:
data = train[subjects]
corr = data.corr()
fig, ax = plt.subplots(figsize=(20, 40))
ax.matshow(corr)
plt.xticks(range(len(corr.columns)), corr.columns)
plt.yticks(range(len(corr.columns)), corr.columns)
plt.show()
In [180]:
abs(data.corr())
Out[180]:
Arithmancy Astronomy Herbology Defense Against the Dark Arts Divination Muggle Studies Ancient Runes History of Magic Transfiguration Potions Care of Magical Creatures Charms Flying
Arithmancy 1.000000 0.033355 0.018613 0.037280 0.003485 0.055085 0.076992 0.069778 0.004673 0.302859 0.042129 0.100896 0.166747
Astronomy 0.033355 1.000000 0.020210 1.000000 0.481663 0.578511 0.192767 0.409449 0.440900 0.558429 0.012876 0.521203 0.523958
Herbology 0.018613 0.020210 1.000000 0.023810 0.549578 0.437113 0.042959 0.510289 0.537615 0.106415 0.047737 0.746614 0.271344
Defense Against the Dark Arts 0.037280 1.000000 0.023810 1.000000 0.479310 0.576553 0.193138 0.409559 0.442231 0.556683 0.010865 0.521115 0.526304
Divination 0.003485 0.481663 0.549578 0.479310 1.000000 0.249272 0.435663 0.170008 0.166173 0.482459 0.023438 0.395282 0.402269
Muggle Studies 0.055085 0.578511 0.437113 0.576553 0.249272 1.000000 0.569814 0.289745 0.266522 0.184076 0.050356 0.847607 0.184862
Ancient Runes 0.076992 0.192767 0.042959 0.193138 0.435663 0.569814 1.000000 0.472979 0.449731 0.122483 0.010400 0.354147 0.559944
History of Magic 0.069778 0.409449 0.510289 0.409559 0.170008 0.289745 0.472979 1.000000 0.849203 0.602211 0.029390 0.539685 0.896283
Transfiguration 0.004673 0.440900 0.537615 0.442231 0.166173 0.266522 0.449731 0.849203 1.000000 0.568442 0.044615 0.549467 0.873673
Potions 0.302859 0.558429 0.106415 0.556683 0.482459 0.184076 0.122483 0.602211 0.568442 1.000000 0.003523 0.248049 0.558594
Care of Magical Creatures 0.042129 0.012876 0.047737 0.010865 0.023438 0.050356 0.010400 0.029390 0.044615 0.003523 1.000000 0.049265 0.021738
Charms 0.100896 0.521203 0.746614 0.521115 0.395282 0.847607 0.354147 0.539685 0.549467 0.248049 0.049265 1.000000 0.355194
Flying 0.166747 0.523958 0.271344 0.526304 0.402269 0.184862 0.559944 0.896283 0.873673 0.558594 0.021738 0.355194 1.000000

The two freatures which are similar are Defense Against the Dark Arts and Astronomy. Astronomy is Defense Against the Dark Arts times -100. Apart from that, Flying and History of Magic, and also have a strong negative correlation. Charms and Muggle Studies have strong positive correlation.

V.2.3 Pair plot

In [181]:
import seaborn as sns
# sns.set(style="ticks")
data = train[subjects]
data = data.dropna(axis=0, how='any')
#plt.subplots(figsize=(40,30))
sns.pairplot(data)
#sns.regplot(x="total_bill", y="tip", data=data)
plt.show()

V.3 Logistic Regression

Just a bit more data exploration

In [182]:
import sklearn.linear_model as sklm ##Includes Logistic Regression, which will be tested for predictive capability
import sklearn.decomposition as skdc ##Includes Principal Component Analysis, a method of dimensionality reduction
import sklearn.pipeline as skpl ##Convenient module for calculating PCs and using them in logistic regression
%matplotlib inline
from subprocess import check_output
import datetime
import copy
import random
import pandas as pd
import numpy as np
import statistics
In [183]:
train = pd.read_csv("resources/dataset_train.csv")
train.drop('Index', axis=1, inplace=True)
train.drop('First Name', axis=1, inplace=True)
train.drop('Last Name', axis=1, inplace=True)
train = train.fillna(train.mean()) # replace the NaN values with the mean of each column
train["birthday_dt"] = pd.to_datetime(train.Birthday)
train["birthday_dt"] = pd.to_timedelta(train.birthday_dt).dt.total_seconds()
train.drop('Birthday', axis=1, inplace=True)
train.head()
Out[183]:
Hogwarts House Best Hand Arithmancy Astronomy Herbology Defense Against the Dark Arts Divination Muggle Studies Ancient Runes History of Magic Transfiguration Potions Care of Magical Creatures Charms Flying birthday_dt
0 Ravenclaw Left 58384.0 -487.886086 5.727180 4.878861 4.722 272.035831 532.484226 5.231058 1039.788281 3.790369 0.715939 -232.79405 -26.89 954374400.0
1 Slytherin Right 67239.0 -552.060507 -5.987446 5.520605 -5.612 -487.340557 367.760303 4.107170 1058.944592 7.248742 0.091674 -252.18425 -113.45 939859200.0
2 Ravenclaw Left 23702.0 -366.076117 7.725017 3.660761 6.140 664.893521 602.585284 3.555579 1088.088348 8.728531 -0.515327 -227.34265 30.42 941587200.0
3 Gryffindor Left 32667.0 697.742809 -6.497214 -6.977428 4.026 -537.001128 523.982133 -4.809637 920.391449 0.821911 -0.014040 -256.84675 200.64 966643200.0
4 Gryffindor Left 60158.0 436.775204 -7.820623 -0.387863 2.236 -444.262537 599.324514 -3.444377 937.434724 4.311066 -0.264070 -256.38730 157.98 906854400.0
In [184]:
train.groupby("Hogwarts House").mean()
Out[184]:
Arithmancy Astronomy Herbology Defense Against the Dark Arts Divination Muggle Studies Ancient Runes History of Magic Transfiguration Potions Care of Magical Creatures Charms Flying birthday_dt
Hogwarts House
Gryffindor 49136.104380 487.788762 -4.657073 -4.864328 4.869286 -493.015466 594.768415 -4.624659 952.825020 2.974979 -0.138137 -252.731046 189.024526 9.228009e+08
Hufflepuff 50240.909247 487.320610 4.847983 -4.886143 4.975765 -495.245736 402.496805 4.948376 1049.304591 4.986878 -0.029110 -244.347364 -7.085690 9.234889e+08
Ravenclaw 49451.444341 -469.481996 4.934253 4.724076 4.946495 466.557054 596.138198 4.867469 1049.877458 6.960878 0.002346 -231.080576 -3.979797 9.301639e+08
Slytherin 49379.984789 -483.865763 -4.657685 4.857334 -4.549760 -474.510256 404.310461 4.914403 1051.174387 9.388874 -0.086222 -249.593194 -70.321661 9.219029e+08
In [185]:
#train.groupby("Hogwarts House")
for colname in list(train):
    train[colname].hist(by=train['Hogwarts House'])
Check if our data is imbalanced or not
In [186]:
sns.countplot(x = "Hogwarts House", data = train)
plt.show()

It seems more or less a balanced dataset. We don't need to oversample/undersample the training data.

feature selection

Running PCA for dimentionality reduction

normalization
In [187]:
train["Best Hand"] = train["Best Hand"].astype('category')
train["Best Hand"] = train["Best Hand"].cat.codes
train.head()
Out[187]:
Hogwarts House Best Hand Arithmancy Astronomy Herbology Defense Against the Dark Arts Divination Muggle Studies Ancient Runes History of Magic Transfiguration Potions Care of Magical Creatures Charms Flying birthday_dt
0 Ravenclaw 0 58384.0 -487.886086 5.727180 4.878861 4.722 272.035831 532.484226 5.231058 1039.788281 3.790369 0.715939 -232.79405 -26.89 954374400.0
1 Slytherin 1 67239.0 -552.060507 -5.987446 5.520605 -5.612 -487.340557 367.760303 4.107170 1058.944592 7.248742 0.091674 -252.18425 -113.45 939859200.0
2 Ravenclaw 0 23702.0 -366.076117 7.725017 3.660761 6.140 664.893521 602.585284 3.555579 1088.088348 8.728531 -0.515327 -227.34265 30.42 941587200.0
3 Gryffindor 0 32667.0 697.742809 -6.497214 -6.977428 4.026 -537.001128 523.982133 -4.809637 920.391449 0.821911 -0.014040 -256.84675 200.64 966643200.0
4 Gryffindor 0 60158.0 436.775204 -7.820623 -0.387863 2.236 -444.262537 599.324514 -3.444377 937.434724 4.311066 -0.264070 -256.38730 157.98 906854400.0
In [188]:
def standardization(x): #Define function to standardize the data, since all variables are not in the same units
    xmean = np.mean(x) ##calculate mean
    sd = np.std(x) ##calculate standard deviation 
    x_z = (x - xmean) / sd ##calculate standardized value to return
    return(x_z)
In [189]:
##drop response variable and categorical variable, and standardize predictor variables
train_stnd = train.drop(['Hogwarts House', "Best Hand"], 1).apply(standardization,broadcast = True) 
# train_stnd["Best Hand"] = train["Best Hand"]
#train_stnd["year"] = train["year"]
#train_stnd["month"] = train["month"]
#train_stnd["day"] = train["day"]
train_stnd["Best Hand"] = train["Best Hand"]
train_stnd.head()
Out[189]:
Arithmancy Astronomy Herbology Defense Against the Dark Arts Divination Muggle Studies Ancient Runes History of Magic Transfiguration Potions Care of Magical Creatures Charms Flying birthday_dt Best Hand
0 0.530385 -1.024817 0.888115 1.020603e+00 0.382179 1.032825 0.349594 0.519639 0.222075 -0.692929 0.802318 1.204930 -0.500486 0.653330 0
1 1.067170 -1.149451 -1.380435 1.144963e+00 -2.136447 -0.546438 -1.217971 0.262132 0.661039 0.416516 0.151316 -1.003297 -1.387362 0.331607 1
2 -1.572018 -0.788249 1.274999 7.845560e-01 0.727777 1.849844 1.016698 0.135751 1.328864 0.891232 -0.481683 1.825755 0.086700 0.369907 0
3 -1.028564 1.277801 -1.479153 -1.276948e+00 0.212548 -0.649717 0.268685 -1.780900 -2.513885 -1.645209 0.041074 -1.534279 1.830738 0.925263 0
4 0.637924 0.770974 -1.735432 1.075714e-17 -0.223715 -0.456850 0.985667 -1.468090 -2.123341 -0.525889 -0.219665 -1.481955 1.393652 -0.399930 0

Prepare predictors and target values

In [190]:
X = train_stnd #store predictor variables
y = train['Hogwarts House'] #store response variable
pca = skdc.PCA() #empty model space
In [191]:
pcafit = pca.fit_transform(X,y)
In [192]:
var_explained = pca.explained_variance_ratio_ #ratio of variance each PC explains
print(pd.Series(var_explained))
0     0.346751
1     0.194229
2     0.149285
3     0.082687
4     0.069833
5     0.069448
6     0.030628
7     0.017558
8     0.015155
9     0.010485
10    0.009738
11    0.001501
12    0.001463
13    0.000743
14    0.000497
dtype: float64
In [193]:
for i in range(len(var_explained)):
    var_total = sum(var_explained[0:i])
    if var_total > 0.9:
        pca_n = i
        break
    else:
        continue
pca_n
Out[193]:
6
In [194]:
print(sum(var_explained[0:pca_n]))
0.912232529608

Taking the first six PCAs yields to explaining more than 90% of the variances of the original dataset. Therefore we just keep the first six PCAs for a logistic regression.

In [195]:
pca_data = pd.DataFrame(pcafit).iloc[:,0:pca_n]
In [196]:
pca_data['Hogwarts House'] = train.reset_index()['Hogwarts House']
pca_data.head()
Out[196]:
0 1 2 3 4 5 Hogwarts House
0 -1.730427 -1.591346 -0.143109 -0.805879 0.081280 1.062924 Ravenclaw
1 -1.430306 3.130497 -1.198094 -1.334991 0.144872 0.651074 Slytherin
2 -2.513358 -2.493750 -0.233755 1.511292 0.596065 -0.676330 Ravenclaw
3 4.681669 0.013367 -0.917009 0.915325 0.902560 0.475326 Gryffindor
4 3.314826 0.351048 -2.086782 -0.437052 -0.341566 -0.156114 Gryffindor
In [197]:
# make Ravenclaw_orNot column
pca_data.loc[pca_data["Hogwarts House"] == "Ravenclaw", "Ravenclaw_orNot"] = 1
pca_data.loc[pca_data["Ravenclaw_orNot"] != 1.0, "Ravenclaw_orNot"] = 0
pca_data["Ravenclaw_orNot"] = pca_data["Ravenclaw_orNot"].astype('category').apply(int) 

# make Slytherin_orNot column
pca_data.loc[pca_data["Hogwarts House"] == "Slytherin", "Slytherin_orNot"] = 1
pca_data.loc[pca_data["Slytherin_orNot"] != 1.0, "Slytherin_orNot"] = 0
pca_data["Slytherin_orNot"] = pca_data["Slytherin_orNot"].astype('category').apply(int) 

# make Gryffindor_orNot column
pca_data.loc[pca_data["Hogwarts House"] == "Gryffindor", "Gryffindor_orNot"] = 1
pca_data.loc[pca_data["Gryffindor_orNot"] != 1.0, "Gryffindor_orNot"] = 0
pca_data["Gryffindor_orNot"] = pca_data["Gryffindor_orNot"].astype('category').apply(int) 

# make Hufflepuff_orNot column
pca_data.loc[pca_data["Hogwarts House"] == "Hufflepuff", "Hufflepuff_orNot"] = 1
pca_data.loc[pca_data["Hufflepuff_orNot"] != 1.0, "Hufflepuff_orNot"] = 0
pca_data["Hufflepuff_orNot"] = pca_data["Hufflepuff_orNot"].astype('category').apply(int) 

pca_data.head()
Out[197]:
0 1 2 3 4 5 Hogwarts House Ravenclaw_orNot Slytherin_orNot Gryffindor_orNot Hufflepuff_orNot
0 -1.730427 -1.591346 -0.143109 -0.805879 0.081280 1.062924 Ravenclaw 1 0 0 0
1 -1.430306 3.130497 -1.198094 -1.334991 0.144872 0.651074 Slytherin 0 1 0 0
2 -2.513358 -2.493750 -0.233755 1.511292 0.596065 -0.676330 Ravenclaw 1 0 0 0
3 4.681669 0.013367 -0.917009 0.915325 0.902560 0.475326 Gryffindor 0 0 1 0
4 3.314826 0.351048 -2.086782 -0.437052 -0.341566 -0.156114 Gryffindor 0 0 1 0

Run logistic regression

It's a multinominal regression model classifying each observation into four categories. This multinominal logistic regression model consists of four logistic regression submodels each of which returns the probability of classifying into one house against other three. And we compare the probabilities of four submodels and choose the one with the highest probability.

Defining functions for logistic regression

The logit function for logistic regression is defined as

$$P(G = k | X = x) = \frac{1}{1 + \exp(\beta_{0} + \beta_{1}^Tx)} = p_k(x;\theta)$$

where $\theta$ is a parameter set $$\theta = \{\beta_{0}, \beta_{1}\}$$

Here $k = \{0,1\}$

In [198]:
def sigmoid(scores):
    return 1 / (1 + np.exp(-scores))

The log-likelihood for N obseravtion in case of binary logistic regression is

$$l(\beta) = \sum_{i=1}^{N}[y_i\log{p(x_i;\beta)} + (1-y_i)\log{\{1-p(x_i;\beta)\}}] $$ $$= \sum_{i=1}^{N}\{ y_i\beta^Tx_i - \log{(1+\exp{\beta^Tx_i)}}\}$$ where $$\beta = \{\beta_{0}, \beta_{1}\}$$

The objective is to find the parameters which maximizes the log-likelihood. It is equivalent to find the parameters which minimizes the cross-entropy cost function $$CE = J(\theta) = \frac{1}{m}(-y^T\log{(P)} - (1-y)^T\log{(1-P)})$$ where $$P = p(X\beta)$$

In [199]:
def log_likelihood(features, target, weights):
    scores = np.dot(features, weights)
    ll = np.sum( target*scores - np.log(1 + np.exp(scores)) )
    return ll

The logit function to fit the observations are obtained by following steps in gradient descent method:

  1. start with some random parameter value (here we start with all the parameters = 0)
  2. take a derivative of log-likelihood to find the slope, and get parameters that increase the likelihood
  3. update the logit function with new parameters obtained in step 2.
  4. iterate 1~3 until we obtain stable likelihood value(where we reach local maxima)

The derivative of log-likelihood is $$\frac{\delta l(\beta)}{\delta\beta} = X^T(y - s(z))$$ where $$s(z) = \frac{1}{1 + \exp(\beta_{0} + \beta_{1}^Tx)}$$ the sigmoid function.

In [200]:
def logistic_regression(features, target, num_steps, learning_rate, add_intercept = False):
    if add_intercept:
        intercept = np.ones((features.shape[0], 1))
        features = np.hstack((intercept, features))
        
    # start with all the parameters = 0
    weights = np.zeros(features.shape[1])
    
    for step in range(num_steps):
        #print(step)
        scores = np.dot(features, weights)
        predictions = sigmoid(scores)

        # Update weights with gradient
        output_error_signal = target - predictions
        gradient = np.dot(features.T, output_error_signal)
        weights += learning_rate * gradient
        
        # Print log-likelihood every so often
        if step % 10000 == 0:
            print(log_likelihood(features, target, weights))
        
    return weights

Prepare data for k-fold Cross Validation

choice of k

Choice of k is normally 5-10. We choose 5 as our dataset would not be large enough if we split it into more than 5 datasets.

In [203]:
pred_res = {} # a big storage for prediction result on validation for all the CV folds
weight_res = {} # a big storage for weights parameters
acc_res = {} # a storage for accuracy rates

k = 5 # number of folds for CV
rows = pca_data.shape[0]

dct = {'Ravenclaw_orNot': "Ravenclaw",
       'Slytherin_orNot': "Slytherin",
       'Gryffindor_orNot': "Gryffindor",
       'Hufflepuff_orNot': "Hufflepuff"}

for i in range(k): # try k-times for k-fold CV
    print("Now executing fold", i + 1)
    
    pred_res_fold = [] # storage for prediction result on validation
    weight_houses = {} # storage for weight results on validation
    
    if i == 0:
        val_index = range(0, int(rows/k*(i+1)))
        # validation data for CV
        validation_pca_data = pca_data.iloc[0:int(rows/k*(i+1))] 
        # label for validation data
        validation_pca_label = validation_pca_data['Hogwarts House'] 
        # train data for CV
        train_pca_data = pca_data[~pca_data.index.isin(val_index)] 
    else:
        val_index = range(int(rows/k*(i))+1, int(rows/k*(i+1)))
        # validation data for CV
        validation_pca_data = pca_data.iloc[int(rows/k*(i))+1:int(rows/k*(i+1))] 
        # label for validation data
        validation_pca_label = validation_pca_data['Hogwarts House'] 
        # train data for CV
        train_pca_data = pca_data[~pca_data.index.isin(val_index)] 
    
    # we build 4 logistic regression sub models 
    # and compare the probabilities
    for house in ["Ravenclaw_orNot", 
                  "Slytherin_orNot", 
                  "Gryffindor_orNot", 
                  "Hufflepuff_orNot"]:
        # train data 
        X_pca = train_pca_data.iloc[:,0:pca_n].as_matrix(columns=None) 
        # label of train data
        y_pca = train_pca_data[house].as_matrix(columns=None) 
        # validation data
        X_val_pca = validation_pca_data.iloc[:,0:pca_n].as_matrix(columns=None) 
        # label of validation data for each house
        y_val_pca = validation_pca_data[house].as_matrix(columns=None) 
        
        # training
        weights = logistic_regression(X_pca, y_pca, 
                                      num_steps = 30000, 
                                      learning_rate = 5e-5, 
                                      add_intercept=True)
        
        # store weights data for predicting on test data
        weight_houses["{0}".format(house)] = weights 
        
        """ # this part is not necessary
        #weight_houses["weight_" + str(house)] = weights  
        data_with_intercept = np.hstack((np.ones((X_pca.shape[0], 1)),
                                         X_pca))
        final_scores = np.dot(data_with_intercept, weights)
        preds = np.round(sigmoid(final_scores))
        # print("accuracy rate for " + house + " on training is " \
        # + format((preds == y_pca).sum().astype(float) / len(preds)))
        """
        
        # validation
        val_data_with_intercept = np.hstack((np.ones((X_val_pca.shape[0], 1)),
                                             X_val_pca))
        val_final_scores = np.dot(val_data_with_intercept, weights)
        # val_preds = np.round(sigmoid(val_final_scores))
        # print("accuracy rate for " + house + " on validation is " \
        # + format((val_preds == y_val_pca).sum().astype(float) / len(val_preds)))
        
        val_preds = pd.DataFrame(sigmoid(val_final_scores))
        val_preds.columns = [house]
        pred_res_fold.append(val_preds)

    pred_res_fold = pd.concat(pred_res_fold, axis=1)
    
    # create a column with a name of the house with the highest probability
    pred_res_fold["predicted_house"] = pred_res_fold.idxmax(axis=1)
    pred_res_fold= pred_res_fold.assign(predicted_house = pred_res_fold.predicted_house.map(dct))
    pred_res_fold["label"] = validation_pca_label.reset_index()['Hogwarts House']
    
    # check the accuracy
    acc = len(pred_res_fold[pred_res_fold.predicted_house == pred_res_fold.label]) / len(pred_res_fold)
    print("Accuracy rate for fold", i + 1, "is", acc)
    
    # storing the results
    pred_res["pred_res_" + "fold_" + str(i + 1)] = pred_res_fold
    weight_res["weight_fold_" + str(i + 1)] = weight_houses
    fold_name = "fold" + str(int(i+1))
    acc_res[fold_name] = acc

numbers = [acc_res[key] for key in acc_res]
mean_ = statistics.mean(numbers)
print("Average accuracy rate is ", mean_)
Now executing fold 1
-833.215989324
-88.0403500361
-88.0401369571
-849.082766385
-62.5403362639
-62.5275540022
-830.273896701
-69.6563390489
-69.64361311
-850.32586065
-84.3933113454
-84.3928942647
Accuracy rate for fold 1 is 0.990625
Now executing fold 2
-834.024579624
-74.114033082
-74.1067732262
-848.189360362
-67.9559500924
-67.9445067813
-830.273176648
-58.1206442075
-58.0911057731
-851.6293655
-79.3020621947
-79.3009677939
Accuracy rate for fold 2 is 0.9811912225705329
Now executing fold 3
-833.44473183
-90.7304550715
-90.7303906057
-849.995355657
-59.0416838341
-59.0104704523
-830.697469389
-60.0147249662
-59.9971493084
-849.972740896
-64.2509148961
-64.2341924028
Accuracy rate for fold 3 is 0.9780564263322884
Now executing fold 4
-833.761711191
-96.9303756035
-96.9302943599
-849.687372034
-66.1119559969
-66.0849549017
-830.100786423
-54.9086747132
-54.8759441519
-850.622036234
-71.2418964904
-71.2328882052
Accuracy rate for fold 4 is 0.987460815047022
Now executing fold 5
-833.75018947
-75.1384510145
-75.1382971547
-847.742060693
-50.9451554432
-50.8803431538
-830.097135226
-44.983344531
-44.709154334
-851.283113739
-73.4222740935
-73.4212780018
Accuracy rate for fold 5 is 0.9717868338557993
Average accuracy rate is  0.9818240595611285
In [204]:
for key, value in acc_res.items():
    if value == max(acc_res.values()):
        ind = list(acc_res.keys()).index(key)
ind
Out[204]:
0

The 1st fold yielded the best accuracy rate.

In [205]:
best_weight = list(weight_res.values())[ind]
best_weight
Out[205]:
{'Gryffindor_orNot': array([-3.52934504,  1.64318928, -0.74939475, -1.08975622,  0.86700695,
        -0.21709654, -0.14180332]),
 'Hufflepuff_orNot': array([-2.24949422,  0.31969933,  0.49834166,  3.16032885, -0.17387664,
        -0.06636997, -0.16178321]),
 'Ravenclaw_orNot': array([-2.67149802, -1.18300312, -1.89149097, -0.81030679, -0.19593262,
         0.33595545,  0.12427833]),
 'Slytherin_orNot': array([-3.77705969, -0.99198574,  2.15088835, -1.06269565, -0.37679516,
        -0.03464031,  0.06384315])}

Prediction on test data

PCA

In [206]:
test = pd.read_csv("resources/dataset_test.csv")
test.head()
Out[206]:
Index Hogwarts House First Name Last Name Birthday Best Hand Arithmancy Astronomy Herbology Defense Against the Dark Arts Divination Muggle Studies Ancient Runes History of Magic Transfiguration Potions Care of Magical Creatures Charms Flying
0 0 NaN Rico Sargent 2001-10-06 Right 41642.0 696.096071 3.020172 -6.960961 7.996 -365.151850 393.138185 4.207691 1046.742736 3.668983 0.373853 -244.48172 -13.62
1 1 NaN Tamara Shackelford 1998-01-08 Left 45352.0 -370.844655 2.965226 3.708447 6.349 522.580486 602.853051 6.460017 1048.053878 8.514622 0.577432 -231.29200 -26.26
2 2 NaN Staci Crandall 1998-09-15 Left 43502.0 320.303990 -6.185697 -3.203040 4.619 -630.073207 588.071795 -5.565818 936.437358 1.850829 -1.647150 -252.99343 200.15
3 3 NaN Dee Gavin 2001-05-10 Right 61831.0 407.202928 4.962442 NaN NaN -449.179806 427.699966 NaN 1043.397718 4.656573 1.164708 -244.01660 -11.15
4 4 NaN Gregory Gustafson 1999-02-01 Right NaN 288.337747 3.737656 -2.883377 4.886 -449.732166 385.712782 2.876347 1051.377936 2.750586 0.102104 -243.99806 -7.12
In [207]:
test.drop('Index', axis=1, inplace=True)
test.drop('First Name', axis=1, inplace=True)
test.drop('Last Name', axis=1, inplace=True)
test = test.fillna(test.mean())
test["birthday_dt"] = pd.to_datetime(test.Birthday)
test["birthday_dt"] = pd.to_timedelta(test.birthday_dt).dt.total_seconds()
test.drop('Birthday', axis=1, inplace=True)
test["Best Hand"] = test["Best Hand"].astype('category')
test["Best Hand"] = test["Best Hand"].cat.codes
test_stnd = test.drop(['Hogwarts House', "Best Hand"], 1).apply(standardization,broadcast = True) 
test_stnd["Best Hand"] = test["Best Hand"]
test_stnd.head()
Out[207]:
Arithmancy Astronomy Herbology Defense Against the Dark Arts Divination Muggle Studies Ancient Runes History of Magic Transfiguration Potions Care of Magical Creatures Charms Flying birthday_dt Best Hand
0 -5.557378e-01 1.286903 0.328317 -1.269178e+00 1.188731e+00 -0.295413 -1.022805 3.240565e-01 0.355048 -0.664301 0.348263 -0.149216 -0.389068 1.764672 1
1 -3.116518e-01 -0.832194 0.317281 8.390469e-01 7.617148e-01 1.513413 1.063759 8.537717e-01 0.384405 0.862810 0.550332 1.364013 -0.522027 -0.920950 0
2 -4.333658e-01 0.540526 -1.520663 -5.266305e-01 3.131789e-01 -0.835212 0.916692 -1.974534e+00 -2.114761 -1.237296 -1.657741 -1.125747 1.859560 -0.429798 0
3 7.725240e-01 0.713120 0.718418 -2.193749e-17 -1.151387e-16 -0.466627 -0.678932 2.088869e-16 0.280150 -0.353061 1.133250 -0.095854 -0.363086 1.471945 1
4 -4.786952e-16 0.477037 0.472422 -4.634667e-01 3.824038e-01 -0.467752 -1.096685 1.094332e-02 0.458833 -0.953736 0.078532 -0.093727 -0.320695 -0.156717 1
In [208]:
X_test = test_stnd #store predictor variables
y_test = test['Hogwarts House'] #store response variable
pca_test = skdc.PCA() #empty model space
pd.DataFrame(X_test).head()
Out[208]:
Arithmancy Astronomy Herbology Defense Against the Dark Arts Divination Muggle Studies Ancient Runes History of Magic Transfiguration Potions Care of Magical Creatures Charms Flying birthday_dt Best Hand
0 -5.557378e-01 1.286903 0.328317 -1.269178e+00 1.188731e+00 -0.295413 -1.022805 3.240565e-01 0.355048 -0.664301 0.348263 -0.149216 -0.389068 1.764672 1
1 -3.116518e-01 -0.832194 0.317281 8.390469e-01 7.617148e-01 1.513413 1.063759 8.537717e-01 0.384405 0.862810 0.550332 1.364013 -0.522027 -0.920950 0
2 -4.333658e-01 0.540526 -1.520663 -5.266305e-01 3.131789e-01 -0.835212 0.916692 -1.974534e+00 -2.114761 -1.237296 -1.657741 -1.125747 1.859560 -0.429798 0
3 7.725240e-01 0.713120 0.718418 -2.193749e-17 -1.151387e-16 -0.466627 -0.678932 2.088869e-16 0.280150 -0.353061 1.133250 -0.095854 -0.363086 1.471945 1
4 -4.786952e-16 0.477037 0.472422 -4.634667e-01 3.824038e-01 -0.467752 -1.096685 1.094332e-02 0.458833 -0.953736 0.078532 -0.093727 -0.320695 -0.156717 1
In [209]:
pcafit_test = pca_test.fit_transform(X_test, y_test)
var_explained_test = pca_test.explained_variance_ratio_

for i in range(len(var_explained_test)):
    var_total = sum(var_explained_test[0:i])
    if var_total > 0.9:
        pca_n_test = i
        break
    else:
        continue

pca_n_test
Out[209]:
6
In [210]:
pca_data_test = pd.DataFrame(pcafit_test).iloc[:,0:pca_n_test]
pca_data_test.head()
Out[210]:
0 1 2 3 4 5
0 0.777859 0.565320 -2.331824 -0.324158 1.256196 -1.139555
1 -2.291014 -1.895994 0.403900 -0.524618 0.125421 0.728123
2 3.982389 -0.802268 1.607060 -0.126481 -1.409280 -0.830468
3 0.073076 0.777955 -1.244947 0.961774 1.562459 -0.160547
4 0.355395 0.571614 -1.452583 0.065172 -0.203042 0.419440
In [211]:
X_pca_test = pca_data_test.as_matrix(columns=None)
X_pca_test
Out[211]:
array([[ 0.77785925,  0.56531959, -2.33182419, -0.32415781,  1.25619624,
        -1.13955478],
       [-2.29101397, -1.89599445,  0.40390022, -0.52461808,  0.1254213 ,
         0.72812257],
       [ 3.98238879, -0.80226795,  1.60706043, -0.12648079, -1.40927954,
        -0.83046791],
       ..., 
       [ 0.00532242,  0.95465227, -1.47995995,  0.32923525, -2.20923482,
        -0.7914288 ],
       [-2.98489288, -2.02785353,  0.55271938,  0.57529365, -0.80116152,
        -0.2359513 ],
       [-1.00082874, -1.1585939 , -0.54719459,  0.5935047 ,  0.71649086,
         0.63746694]])

Prediction

In [212]:
test_res = []
for house in best_weight.keys():
    data_with_intercept = np.hstack((np.ones((X_pca_test.shape[0], 1)), X_pca_test))
    final_scores = np.dot(data_with_intercept, best_weight[house])
    preds = sigmoid(final_scores)
    preds = pd.DataFrame(preds)
    preds.columns = [house]
    test_res.append(preds)
    
test_res = pd.concat(test_res, axis=1)
test_res.head()
Out[212]:
Ravenclaw_orNot Slytherin_orNot Gryffindor_orNot Hufflepuff_orNot
0 0.081093 0.299674 0.371480 0.000132
1 0.971617 0.003104 0.001008 0.063851
2 0.000444 0.000015 0.898296 0.981157
3 0.051950 0.217546 0.107345 0.002429
4 0.046311 0.206325 0.148090 0.001490
In [213]:
test_res["predicted_house"] = test_res.idxmax(axis=1)
dct = {'Ravenclaw_orNot': "Ravenclaw",
       'Slytherin_orNot': "Slytherin",
       'Gryffindor_orNot': "Gryffindor",
       'Hufflepuff_orNot': "Hufflepuff"}
test_res= test_res.assign(predicted_house = test_res.predicted_house.map(dct))
test_res.head()
Out[213]:
Ravenclaw_orNot Slytherin_orNot Gryffindor_orNot Hufflepuff_orNot predicted_house
0 0.081093 0.299674 0.371480 0.000132 Gryffindor
1 0.971617 0.003104 0.001008 0.063851 Ravenclaw
2 0.000444 0.000015 0.898296 0.981157 Hufflepuff
3 0.051950 0.217546 0.107345 0.002429 Slytherin
4 0.046311 0.206325 0.148090 0.001490 Slytherin